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Finding the Fourth Proportional to 502.74, 754.01 and 137.57

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Solution

The fourth proportional to 502.74, 754.01 and 137.57 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.74 : 754.01 = 137.57 : x
  2. Step 2: Convert to fraction form
    502.74/754.01 = 137.57/x
  3. Step 3: Cross multiply
    502.74x = 754.01 × 137.57
  4. Step 4: Simplify right side
    502.74x = 103,725.21
  5. Step 5: Solve for x
    x = 103,725.21/502.74
  6. Step 6: Final answer
    x = 206.32

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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.