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Finding the Fourth Proportional to 40.97, 61.03 and 38.48

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Solution

The fourth proportional to 40.97, 61.03 and 38.48 is: 57.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.97 : 61.03 = 38.48 : x
  2. Step 2: Convert to fraction form
    40.97/61.03 = 38.48/x
  3. Step 3: Cross multiply
    40.97x = 61.03 × 38.48
  4. Step 4: Simplify right side
    40.97x = 2,348.43
  5. Step 5: Solve for x
    x = 2,348.43/40.97
  6. Step 6: Final answer
    x = 57.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.