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Finding the Fourth Proportional to 41.77, 57.32 and 38.11

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Solution

The fourth proportional to 41.77, 57.32 and 38.11 is: 52.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.77 : 57.32 = 38.11 : x
  2. Step 2: Convert to fraction form
    41.77/57.32 = 38.11/x
  3. Step 3: Cross multiply
    41.77x = 57.32 × 38.11
  4. Step 4: Simplify right side
    41.77x = 2,184.47
  5. Step 5: Solve for x
    x = 2,184.47/41.77
  6. Step 6: Final answer
    x = 52.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.