Explanation:

- The problem is a relation of numbers through a pattern or formula.

- We first need to identify how 11 is related to 242.

- The relation can be possibly calculated by multiplying: 11 × 11 × 2 = 242.

- Similarly, to find the number related to 14, we apply the same logic.

- Calculate: 14 × 14 × 2 = 392.

- The correct option must satisfy this relationship.

Option 1: 288

- Calculation would be: 14 × 14 × 2 = 288 (Incorrect)

Option 2: 392

- Calculation matches: 14 × 14 × 2 = 392

- This is the correct answer.

Option 3: 289

- Calculation would be: 14 × 14 = 196 (Incorrect)

Option 4: 882

- Calculation would be: 14 × 14 × 4.5 = 882 (Incorrect)