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Finding the Fourth Proportional to 39.93, 59.81 and 31.88

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Solution

The fourth proportional to 39.93, 59.81 and 31.88 is: 47.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.93 : 59.81 = 31.88 : x
  2. Step 2: Convert to fraction form
    39.93/59.81 = 31.88/x
  3. Step 3: Cross multiply
    39.93x = 59.81 × 31.88
  4. Step 4: Simplify right side
    39.93x = 1,906.28
  5. Step 5: Solve for x
    x = 1,906.28/39.93
  6. Step 6: Final answer
    x = 47.74

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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.