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Finding the Fourth Proportional to 502.55, 753.87 and 137.33

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Solution

The fourth proportional to 502.55, 753.87 and 137.33 is: 206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.55 : 753.87 = 137.33 : x
  2. Step 2: Convert to fraction form
    502.55/753.87 = 137.33/x
  3. Step 3: Cross multiply
    502.55x = 753.87 × 137.33
  4. Step 4: Simplify right side
    502.55x = 103,528.97
  5. Step 5: Solve for x
    x = 103,528.97/502.55
  6. Step 6: Final answer
    x = 206.01

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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.