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Finding the Fourth Proportional to 39.31, 59.17 and 27.97

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Solution

The fourth proportional to 39.31, 59.17 and 27.97 is: 42.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.31 : 59.17 = 27.97 : x
  2. Step 2: Convert to fraction form
    39.31/59.17 = 27.97/x
  3. Step 3: Cross multiply
    39.31x = 59.17 × 27.97
  4. Step 4: Simplify right side
    39.31x = 1,655.01
  5. Step 5: Solve for x
    x = 1,655.01/39.31
  6. Step 6: Final answer
    x = 42.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.