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Finding the Fourth Proportional to 512.44, 768.66 and 166.06

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Solution

The fourth proportional to 512.44, 768.66 and 166.06 is: 249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.44 : 768.66 = 166.06 : x
  2. Step 2: Convert to fraction form
    512.44/768.66 = 166.06/x
  3. Step 3: Cross multiply
    512.44x = 768.66 × 166.06
  4. Step 4: Simplify right side
    512.44x = 127,644.02
  5. Step 5: Solve for x
    x = 127,644.02/512.44
  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.