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Finding the Fourth Proportional to 242.16, 361.32 and 221.28

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Solution

The fourth proportional to 242.16, 361.32 and 221.28 is: 330.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.16 : 361.32 = 221.28 : x
  2. Step 2: Convert to fraction form
    242.16/361.32 = 221.28/x
  3. Step 3: Cross multiply
    242.16x = 361.32 × 221.28
  4. Step 4: Simplify right side
    242.16x = 79,952.89
  5. Step 5: Solve for x
    x = 79,952.89/242.16
  6. Step 6: Final answer
    x = 330.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.