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Finding the Fourth Proportional to 513.09, 769.68 and 166.29

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Solution

The fourth proportional to 513.09, 769.68 and 166.29 is: 249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.09 : 769.68 = 166.29 : x
  2. Step 2: Convert to fraction form
    513.09/769.68 = 166.29/x
  3. Step 3: Cross multiply
    513.09x = 769.68 × 166.29
  4. Step 4: Simplify right side
    513.09x = 127,989.03
  5. Step 5: Solve for x
    x = 127,989.03/513.09
  6. Step 6: Final answer
    x = 249.45

Related Problems

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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.