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Finding the Fourth Proportional to 116.11, 159.88 and 97.66

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Solution

The fourth proportional to 116.11, 159.88 and 97.66 is: 134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.11 : 159.88 = 97.66 : x
  2. Step 2: Convert to fraction form
    116.11/159.88 = 97.66/x
  3. Step 3: Cross multiply
    116.11x = 159.88 × 97.66
  4. Step 4: Simplify right side
    116.11x = 15,613.88
  5. Step 5: Solve for x
    x = 15,613.88/116.11
  6. Step 6: Final answer
    x = 134.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.