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Finding the Fourth Proportional to 39.91, 59.76 and 31.90

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Solution

The fourth proportional to 39.91, 59.76 and 31.90 is: 47.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.91 : 59.76 = 31.90 : x
  2. Step 2: Convert to fraction form
    39.91/59.76 = 31.90/x
  3. Step 3: Cross multiply
    39.91x = 59.76 × 31.90
  4. Step 4: Simplify right side
    39.91x = 1,906.34
  5. Step 5: Solve for x
    x = 1,906.34/39.91
  6. Step 6: Final answer
    x = 47.77

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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.