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Finding the Fourth Proportional to 114.64, 171.17 and 94.32

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Solution

The fourth proportional to 114.64, 171.17 and 94.32 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.64 : 171.17 = 94.32 : x
  2. Step 2: Convert to fraction form
    114.64/171.17 = 94.32/x
  3. Step 3: Cross multiply
    114.64x = 171.17 × 94.32
  4. Step 4: Simplify right side
    114.64x = 16,144.75
  5. Step 5: Solve for x
    x = 16,144.75/114.64
  6. Step 6: Final answer
    x = 140.83

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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.