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Finding the Fourth Proportional to 242.38, 361.58 and 234.16

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Solution

The fourth proportional to 242.38, 361.58 and 234.16 is: 349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.38 : 361.58 = 234.16 : x
  2. Step 2: Convert to fraction form
    242.38/361.58 = 234.16/x
  3. Step 3: Cross multiply
    242.38x = 361.58 × 234.16
  4. Step 4: Simplify right side
    242.38x = 84,667.57
  5. Step 5: Solve for x
    x = 84,667.57/242.38
  6. Step 6: Final answer
    x = 349.32

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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.