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Finding the Fourth Proportional to 512.95, 769.11 and 166.18

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Solution

The fourth proportional to 512.95, 769.11 and 166.18 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.95 : 769.11 = 166.18 : x
  2. Step 2: Convert to fraction form
    512.95/769.11 = 166.18/x
  3. Step 3: Cross multiply
    512.95x = 769.11 × 166.18
  4. Step 4: Simplify right side
    512.95x = 127,810.70
  5. Step 5: Solve for x
    x = 127,810.70/512.95
  6. Step 6: Final answer
    x = 249.17

Related Problems

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Double scale
Find fourth proportional to 513.95, 770.61 and 167.18
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.