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Finding the Fourth Proportional to 115.72, 173.46 and 54.80

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Solution

The fourth proportional to 115.72, 173.46 and 54.80 is: 82.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.72 : 173.46 = 54.80 : x
  2. Step 2: Convert to fraction form
    115.72/173.46 = 54.80/x
  3. Step 3: Cross multiply
    115.72x = 173.46 × 54.80
  4. Step 4: Simplify right side
    115.72x = 9,505.61
  5. Step 5: Solve for x
    x = 9,505.61/115.72
  6. Step 6: Final answer
    x = 82.14

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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.