Eastern Europe is mostly Slavic. Hungarian is related to Turkish, Estonian and Finnish - the Ugaritic/Altaic language family.
Romanian of course is descended from the Vulgar Latin brought by the Romans when they conquered Dacia in the Second Century.
Turkish is in the Altaic family, there is no Ugaritic-Altaic family (Ugarit spoke a Semitic tongue).
Hungarian, Finnish, and Estonian are Finno-Ugric, part of the Uralic family.
Romanian is a Romance language bouillabaisse.
http://www.omniglot.com/writing/romanian.htm
http://www.omniglot.com/writing/meglenoromanian.htm
http://www.omniglot.com/writing/aromanian.htm
https://web.cn.edu/kwheeler/IE_Non.html
and these aren’t really related, but interesting:
http://www.omniglot.com/writing/romansh.htm
http://www.omniglot.com/writing/romany.htm