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Finding the Fourth Proportional to 57.61, 86.26 and 41.31

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Solution

The fourth proportional to 57.61, 86.26 and 41.31 is: 61.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.61 : 86.26 = 41.31 : x
  2. Step 2: Convert to fraction form
    57.61/86.26 = 41.31/x
  3. Step 3: Cross multiply
    57.61x = 86.26 × 41.31
  4. Step 4: Simplify right side
    57.61x = 3,562.76
  5. Step 5: Solve for x
    x = 3,562.76/57.61
  6. Step 6: Final answer
    x = 61.85

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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.