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.

196: 226:: 256: 290:: 324: ?

362

Pattern followed here is

 x²  :  x² + ( x+1) × 2

196: 226

 x² = 196  , x = 14

x² + ( x+1) × 2 = 196 + (14+1) × 2  = 196 + 30 = 226

& 256: 290

 x² = 256  , x = 16

x² + ( x+1) × 2 = 256 + (16+1) × 2  = 256 + 34 = 290 

Similarly ,

324: ?

 x² = 324  , x = 18

x² + ( x+1) × 2 = 324 + (18+1) × 2  =324+ 38 = 362 

362 , is correct answer .