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Finding the Fourth Proportional to 116.43, 173.67 and 99.16

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Solution

The fourth proportional to 116.43, 173.67 and 99.16 is: 147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.43 : 173.67 = 99.16 : x
  2. Step 2: Convert to fraction form
    116.43/173.67 = 99.16/x
  3. Step 3: Cross multiply
    116.43x = 173.67 × 99.16
  4. Step 4: Simplify right side
    116.43x = 17,221.12
  5. Step 5: Solve for x
    x = 17,221.12/116.43
  6. Step 6: Final answer
    x = 147.91

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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.