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Finding the Fourth Proportional to 136.85, 206.24 and 116.80

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Solution

The fourth proportional to 136.85, 206.24 and 116.80 is: 176.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.85 : 206.24 = 116.80 : x
  2. Step 2: Convert to fraction form
    136.85/206.24 = 116.80/x
  3. Step 3: Cross multiply
    136.85x = 206.24 × 116.80
  4. Step 4: Simplify right side
    136.85x = 24,087.73
  5. Step 5: Solve for x
    x = 24,087.73/136.85
  6. Step 6: Final answer
    x = 176.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.