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Finding the Fourth Proportional to 502.79, 754.20 and 137.61

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Solution

The fourth proportional to 502.79, 754.20 and 137.61 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.79 : 754.20 = 137.61 : x
  2. Step 2: Convert to fraction form
    502.79/754.20 = 137.61/x
  3. Step 3: Cross multiply
    502.79x = 754.20 × 137.61
  4. Step 4: Simplify right side
    502.79x = 103,785.46
  5. Step 5: Solve for x
    x = 103,785.46/502.79
  6. Step 6: Final answer
    x = 206.42

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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.