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Finding the Fourth Proportional to 242.52, 361.01 and 239.04

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Solution

The fourth proportional to 242.52, 361.01 and 239.04 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.52 : 361.01 = 239.04 : x
  2. Step 2: Convert to fraction form
    242.52/361.01 = 239.04/x
  3. Step 3: Cross multiply
    242.52x = 361.01 × 239.04
  4. Step 4: Simplify right side
    242.52x = 86,294.64
  5. Step 5: Solve for x
    x = 86,294.64/242.52
  6. Step 6: Final answer
    x = 355.82

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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.