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Finding the Fourth Proportional to 114.27, 171.27 and 93.90

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Solution

The fourth proportional to 114.27, 171.27 and 93.90 is: 140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.27 : 171.27 = 93.90 : x
  2. Step 2: Convert to fraction form
    114.27/171.27 = 93.90/x
  3. Step 3: Cross multiply
    114.27x = 171.27 × 93.90
  4. Step 4: Simplify right side
    114.27x = 16,082.25
  5. Step 5: Solve for x
    x = 16,082.25/114.27
  6. Step 6: Final answer
    x = 140.74

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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.