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Finding the Fourth Proportional to 41.54, 61.85 and 40.23

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Solution

The fourth proportional to 41.54, 61.85 and 40.23 is: 59.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.54 : 61.85 = 40.23 : x
  2. Step 2: Convert to fraction form
    41.54/61.85 = 40.23/x
  3. Step 3: Cross multiply
    41.54x = 61.85 × 40.23
  4. Step 4: Simplify right side
    41.54x = 2,488.33
  5. Step 5: Solve for x
    x = 2,488.33/41.54
  6. Step 6: Final answer
    x = 59.91

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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.