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Finding the Fourth Proportional to 60.57, 90.43 and 54.90

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Solution

The fourth proportional to 60.57, 90.43 and 54.90 is: 81.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.57 : 90.43 = 54.90 : x
  2. Step 2: Convert to fraction form
    60.57/90.43 = 54.90/x
  3. Step 3: Cross multiply
    60.57x = 90.43 × 54.90
  4. Step 4: Simplify right side
    60.57x = 4,964.47
  5. Step 5: Solve for x
    x = 4,964.47/60.57
  6. Step 6: Final answer
    x = 81.96

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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.