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Finding the Fourth Proportional to 115.14, 171.52 and 108.17

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Solution

The fourth proportional to 115.14, 171.52 and 108.17 is: 161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.14 : 171.52 = 108.17 : x
  2. Step 2: Convert to fraction form
    115.14/171.52 = 108.17/x
  3. Step 3: Cross multiply
    115.14x = 171.52 × 108.17
  4. Step 4: Simplify right side
    115.14x = 18,553.32
  5. Step 5: Solve for x
    x = 18,553.32/115.14
  6. Step 6: Final answer
    x = 161.14

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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.