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Finding the Fourth Proportional to 337.64, 506.45 and 142.61

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Solution

The fourth proportional to 337.64, 506.45 and 142.61 is: 213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.64 : 506.45 = 142.61 : x
  2. Step 2: Convert to fraction form
    337.64/506.45 = 142.61/x
  3. Step 3: Cross multiply
    337.64x = 506.45 × 142.61
  4. Step 4: Simplify right side
    337.64x = 72,222.66
  5. Step 5: Solve for x
    x = 72,222.66/337.64
  6. Step 6: Final answer
    x = 213.91

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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.