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Finding the Fourth Proportional to 512.79, 769.15 and 166.14

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Solution

The fourth proportional to 512.79, 769.15 and 166.14 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.79 : 769.15 = 166.14 : x
  2. Step 2: Convert to fraction form
    512.79/769.15 = 166.14/x
  3. Step 3: Cross multiply
    512.79x = 769.15 × 166.14
  4. Step 4: Simplify right side
    512.79x = 127,786.58
  5. Step 5: Solve for x
    x = 127,786.58/512.79
  6. Step 6: Final answer
    x = 249.20

Related Problems

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Half scale
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Double scale
Find fourth proportional to 513.79, 770.65 and 167.14
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.