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Finding the Fourth Proportional to 60.27, 82.68 and 57.43

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Solution

The fourth proportional to 60.27, 82.68 and 57.43 is: 78.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.27 : 82.68 = 57.43 : x
  2. Step 2: Convert to fraction form
    60.27/82.68 = 57.43/x
  3. Step 3: Cross multiply
    60.27x = 82.68 × 57.43
  4. Step 4: Simplify right side
    60.27x = 4,748.31
  5. Step 5: Solve for x
    x = 4,748.31/60.27
  6. Step 6: Final answer
    x = 78.78

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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.