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Finding the Fourth Proportional to 39.28, 58.97 and 31.57

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Solution

The fourth proportional to 39.28, 58.97 and 31.57 is: 47.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.28 : 58.97 = 31.57 : x
  2. Step 2: Convert to fraction form
    39.28/58.97 = 31.57/x
  3. Step 3: Cross multiply
    39.28x = 58.97 × 31.57
  4. Step 4: Simplify right side
    39.28x = 1,861.61
  5. Step 5: Solve for x
    x = 1,861.61/39.28
  6. Step 6: Final answer
    x = 47.40

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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.