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Finding the Fourth Proportional to 512.91, 769.01 and 166.14

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Solution

The fourth proportional to 512.91, 769.01 and 166.14 is: 249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.91 : 769.01 = 166.14 : x
  2. Step 2: Convert to fraction form
    512.91/769.01 = 166.14/x
  3. Step 3: Cross multiply
    512.91x = 769.01 × 166.14
  4. Step 4: Simplify right side
    512.91x = 127,762.49
  5. Step 5: Solve for x
    x = 127,762.49/512.91
  6. Step 6: Final answer
    x = 249.09

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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.