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Finding the Fourth Proportional to 39.11, 58.55 and 31.88

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Solution

The fourth proportional to 39.11, 58.55 and 31.88 is: 47.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.11 : 58.55 = 31.88 : x
  2. Step 2: Convert to fraction form
    39.11/58.55 = 31.88/x
  3. Step 3: Cross multiply
    39.11x = 58.55 × 31.88
  4. Step 4: Simplify right side
    39.11x = 1,866.12
  5. Step 5: Solve for x
    x = 1,866.12/39.11
  6. Step 6: Final answer
    x = 47.72

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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.