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Finding the Fourth Proportional to 337.72, 506.92 and 207.87

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Solution

The fourth proportional to 337.72, 506.92 and 207.87 is: 312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.72 : 506.92 = 207.87 : x
  2. Step 2: Convert to fraction form
    337.72/506.92 = 207.87/x
  3. Step 3: Cross multiply
    337.72x = 506.92 × 207.87
  4. Step 4: Simplify right side
    337.72x = 105,373.46
  5. Step 5: Solve for x
    x = 105,373.46/337.72
  6. Step 6: Final answer
    x = 312.01

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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.