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Finding the Fourth Proportional to 74.71, 112.16 and 40.49

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Solution

The fourth proportional to 74.71, 112.16 and 40.49 is: 60.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.71 : 112.16 = 40.49 : x
  2. Step 2: Convert to fraction form
    74.71/112.16 = 40.49/x
  3. Step 3: Cross multiply
    74.71x = 112.16 × 40.49
  4. Step 4: Simplify right side
    74.71x = 4,540.70
  5. Step 5: Solve for x
    x = 4,540.70/74.71
  6. Step 6: Final answer
    x = 60.78

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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.