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Finding the Fourth Proportional to 74.92, 112.34 and 29.27

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Solution

The fourth proportional to 74.92, 112.34 and 29.27 is: 43.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.92 : 112.34 = 29.27 : x
  2. Step 2: Convert to fraction form
    74.92/112.34 = 29.27/x
  3. Step 3: Cross multiply
    74.92x = 112.34 × 29.27
  4. Step 4: Simplify right side
    74.92x = 3,287.48
  5. Step 5: Solve for x
    x = 3,287.48/74.92
  6. Step 6: Final answer
    x = 43.88

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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.