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Finding the Fourth Proportional to 512.38, 768.22 and 269.08

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Solution

The fourth proportional to 512.38, 768.22 and 269.08 is: 403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.38 : 768.22 = 269.08 : x
  2. Step 2: Convert to fraction form
    512.38/768.22 = 269.08/x
  3. Step 3: Cross multiply
    512.38x = 768.22 × 269.08
  4. Step 4: Simplify right side
    512.38x = 206,712.64
  5. Step 5: Solve for x
    x = 206,712.64/512.38
  6. Step 6: Final answer
    x = 403.44

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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.