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Finding the Fourth Proportional to 115.60, 173.04 and 86.55

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Solution

The fourth proportional to 115.60, 173.04 and 86.55 is: 129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.60 : 173.04 = 86.55 : x
  2. Step 2: Convert to fraction form
    115.60/173.04 = 86.55/x
  3. Step 3: Cross multiply
    115.60x = 173.04 × 86.55
  4. Step 4: Simplify right side
    115.60x = 14,976.61
  5. Step 5: Solve for x
    x = 14,976.61/115.60
  6. Step 6: Final answer
    x = 129.56

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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.