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Finding the Fourth Proportional to 512.69, 769.17 and 220.22

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Solution

The fourth proportional to 512.69, 769.17 and 220.22 is: 330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.69 : 769.17 = 220.22 : x
  2. Step 2: Convert to fraction form
    512.69/769.17 = 220.22/x
  3. Step 3: Cross multiply
    512.69x = 769.17 × 220.22
  4. Step 4: Simplify right side
    512.69x = 169,385.86
  5. Step 5: Solve for x
    x = 169,385.86/512.69
  6. Step 6: Final answer
    x = 330.39

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.