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Finding the Fourth Proportional to 512.92, 769.48 and 166.23

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Solution

The fourth proportional to 512.92, 769.48 and 166.23 is: 249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 769.48 = 166.23 : x
  2. Step 2: Convert to fraction form
    512.92/769.48 = 166.23/x
  3. Step 3: Cross multiply
    512.92x = 769.48 × 166.23
  4. Step 4: Simplify right side
    512.92x = 127,910.66
  5. Step 5: Solve for x
    x = 127,910.66/512.92
  6. Step 6: Final answer
    x = 249.38

Related Problems

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Double scale
Find fourth proportional to 513.92, 770.98 and 167.23
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.