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Finding the Fourth Proportional to 114.97, 171.24 and 109.70

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Solution

The fourth proportional to 114.97, 171.24 and 109.70 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.97 : 171.24 = 109.70 : x
  2. Step 2: Convert to fraction form
    114.97/171.24 = 109.70/x
  3. Step 3: Cross multiply
    114.97x = 171.24 × 109.70
  4. Step 4: Simplify right side
    114.97x = 18,785.46
  5. Step 5: Solve for x
    x = 18,785.46/114.97
  6. Step 6: Final answer
    x = 163.40

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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.