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Finding the Fourth Proportional to 74.67, 103.05 and 41.92

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Solution

The fourth proportional to 74.67, 103.05 and 41.92 is: 57.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 103.05 = 41.92 : x
  2. Step 2: Convert to fraction form
    74.67/103.05 = 41.92/x
  3. Step 3: Cross multiply
    74.67x = 103.05 × 41.92
  4. Step 4: Simplify right side
    74.67x = 4,320.13
  5. Step 5: Solve for x
    x = 4,320.13/74.67
  6. Step 6: Final answer
    x = 57.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.