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Finding the Fourth Proportional to 512.28, 768.42 and 147.09

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Solution

The fourth proportional to 512.28, 768.42 and 147.09 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.28 : 768.42 = 147.09 : x
  2. Step 2: Convert to fraction form
    512.28/768.42 = 147.09/x
  3. Step 3: Cross multiply
    512.28x = 768.42 × 147.09
  4. Step 4: Simplify right side
    512.28x = 113,026.90
  5. Step 5: Solve for x
    x = 113,026.90/512.28
  6. Step 6: Final answer
    x = 220.64

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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.