Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.

121 : 145 :: 169 : 197 :: 256 : ?

290

121 : 145 :: 169 : 197 :: 256 : ?

The logic followed here is :

121 : 145

121 = 11²

And 145 = 12² + 1

 169 : 197

169 = 13²

197 = 14² + 1

Similarly

256 : ?

256  = 16²

290  = 17² + 1