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Finding the Fourth Proportional to 115.66, 173.31 and 86.63

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Solution

The fourth proportional to 115.66, 173.31 and 86.63 is: 129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.66 : 173.31 = 86.63 : x
  2. Step 2: Convert to fraction form
    115.66/173.31 = 86.63/x
  3. Step 3: Cross multiply
    115.66x = 173.31 × 86.63
  4. Step 4: Simplify right side
    115.66x = 15,014.28
  5. Step 5: Solve for x
    x = 15,014.28/115.66
  6. Step 6: Final answer
    x = 129.82

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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.