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Finding the Fourth Proportional to 57.27, 85.82 and 38.01

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Solution

The fourth proportional to 57.27, 85.82 and 38.01 is: 56.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.27 : 85.82 = 38.01 : x
  2. Step 2: Convert to fraction form
    57.27/85.82 = 38.01/x
  3. Step 3: Cross multiply
    57.27x = 85.82 × 38.01
  4. Step 4: Simplify right side
    57.27x = 3,262.11
  5. Step 5: Solve for x
    x = 3,262.11/57.27
  6. Step 6: Final answer
    x = 56.96

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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.