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Finding the Fourth Proportional to 57.57, 85.82 and 54.12

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Solution

The fourth proportional to 57.57, 85.82 and 54.12 is: 80.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.57 : 85.82 = 54.12 : x
  2. Step 2: Convert to fraction form
    57.57/85.82 = 54.12/x
  3. Step 3: Cross multiply
    57.57x = 85.82 × 54.12
  4. Step 4: Simplify right side
    57.57x = 4,644.58
  5. Step 5: Solve for x
    x = 4,644.58/57.57
  6. Step 6: Final answer
    x = 80.68

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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.