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Finding the Fourth Proportional to 512.99, 769.17 and 166.23

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Solution

The fourth proportional to 512.99, 769.17 and 166.23 is: 249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.99 : 769.17 = 166.23 : x
  2. Step 2: Convert to fraction form
    512.99/769.17 = 166.23/x
  3. Step 3: Cross multiply
    512.99x = 769.17 × 166.23
  4. Step 4: Simplify right side
    512.99x = 127,859.13
  5. Step 5: Solve for x
    x = 127,859.13/512.99
  6. Step 6: Final answer
    x = 249.25

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Double scale
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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.