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Finding the Fourth Proportional to 512.52, 768.60 and 147.36

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Solution

The fourth proportional to 512.52, 768.60 and 147.36 is: 220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.52 : 768.60 = 147.36 : x
  2. Step 2: Convert to fraction form
    512.52/768.60 = 147.36/x
  3. Step 3: Cross multiply
    512.52x = 768.60 × 147.36
  4. Step 4: Simplify right side
    512.52x = 113,260.90
  5. Step 5: Solve for x
    x = 113,260.90/512.52
  6. Step 6: Final answer
    x = 220.99

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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.