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Finding the Fourth Proportional to 513.26, 769.89 and 166.48

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Solution

The fourth proportional to 513.26, 769.89 and 166.48 is: 249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 769.89 = 166.48 : x
  2. Step 2: Convert to fraction form
    513.26/769.89 = 166.48/x
  3. Step 3: Cross multiply
    513.26x = 769.89 × 166.48
  4. Step 4: Simplify right side
    513.26x = 128,171.29
  5. Step 5: Solve for x
    x = 128,171.29/513.26
  6. Step 6: Final answer
    x = 249.72

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Double scale
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Similar ratio
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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.