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Finding the Fourth Proportional to 116.80, 161.84 and 114.88

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Solution

The fourth proportional to 116.80, 161.84 and 114.88 is: 159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.80 : 161.84 = 114.88 : x
  2. Step 2: Convert to fraction form
    116.80/161.84 = 114.88/x
  3. Step 3: Cross multiply
    116.80x = 161.84 × 114.88
  4. Step 4: Simplify right side
    116.80x = 18,592.18
  5. Step 5: Solve for x
    x = 18,592.18/116.80
  6. Step 6: Final answer
    x = 159.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.