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Finding the Fourth Proportional to 115.52, 174.17 and 97.70

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Solution

The fourth proportional to 115.52, 174.17 and 97.70 is: 147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.52 : 174.17 = 97.70 : x
  2. Step 2: Convert to fraction form
    115.52/174.17 = 97.70/x
  3. Step 3: Cross multiply
    115.52x = 174.17 × 97.70
  4. Step 4: Simplify right side
    115.52x = 17,015.78
  5. Step 5: Solve for x
    x = 17,015.78/115.52
  6. Step 6: Final answer
    x = 147.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.