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Finding the Fourth Proportional to 206.76, 285.12 and 129

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Solution

The fourth proportional to 206.76, 285.12 and 129 is: 177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.76 : 285.12 = 129 : x
  2. Step 2: Convert to fraction form
    206.76/285.12 = 129/x
  3. Step 3: Cross multiply
    206.76x = 285.12 × 129
  4. Step 4: Simplify right side
    206.76x = 36,780.48
  5. Step 5: Solve for x
    x = 36,780.48/206.76
  6. Step 6: Final answer
    x = 177.89

Related Problems

Find fourth proportional to 103.38, 142.56 and 64.50
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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.