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Finding the Fourth Proportional to 115.38, 171.95 and 114.42

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Solution

The fourth proportional to 115.38, 171.95 and 114.42 is: 170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.38 : 171.95 = 114.42 : x
  2. Step 2: Convert to fraction form
    115.38/171.95 = 114.42/x
  3. Step 3: Cross multiply
    115.38x = 171.95 × 114.42
  4. Step 4: Simplify right side
    115.38x = 19,674.52
  5. Step 5: Solve for x
    x = 19,674.52/115.38
  6. Step 6: Final answer
    x = 170.53

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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.