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Finding the Fourth Proportional to 337.97, 506.79 and 142.90

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Solution

The fourth proportional to 337.97, 506.79 and 142.90 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.97 : 506.79 = 142.90 : x
  2. Step 2: Convert to fraction form
    337.97/506.79 = 142.90/x
  3. Step 3: Cross multiply
    337.97x = 506.79 × 142.90
  4. Step 4: Simplify right side
    337.97x = 72,419.02
  5. Step 5: Solve for x
    x = 72,419.02/337.97
  6. Step 6: Final answer
    x = 214.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.