Since some people try to confront me with a problem, I leave the word to Pope St Pius X

24 Q: To be saved, is it enough to be any sort of member of the Catholic Church?

A: No, to be saved it is not enough to be any sort of member of the Catholic Church; it is necessary to be a living member.

25 Q: Who are the living members of the Church?

A: The living members of the Church are the just, and the just alone, that is, those who are actually in the grace of God.

26 Q: And who are the dead members?

A: The dead members of the Church are the faithful in mortal sin.

27 Q: Can one be saved outside the Catholic, Apostolic and Roman Church?

A: No, no one can be saved outside the Catholic, Apostolic Roman Church, just as no one could be saved from the flood outside the Ark of Noah, which was a figure of the Church.

28 Q: How, then, were the Patriarchs of old, the Prophets, and the other just men of the Old Testament, saved?

A: The just of the Old Testament were saved in virtue of the faith they had in Christ to come, by means of which they spiritually belonged to the Church.

29 Q: But if a man through no fault of his own is outside the Church, can he be saved?

A: If he is outside the Church through no fault of his, that is, if he is in good faith, and if he has received Baptism, or at least has the implicit desire of Baptism; and if, moreover, he sincerely seeks the truth and does God's will as best he can such a man is indeed separated from the body of the Church, but is united to the soul of the Church and consequently is on the way of salvation

30 Q: Suppose that a man is a member of the Catholic Church, but does not put her teaching into practice, will he be saved?

A: He who is a member of the Catholic Church and does not put her teaching into practice is a dead member, and hence will not be saved; for towards the salvation of an adult not only Baptism and faith are required, but, furthermore, works in keeping with faith.

Source: http://www.cin.org/users/james/ebooks/master/pius/pcreed09.htm