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Finding the Fourth Proportional to 512.45, 768.45 and 204.20

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Solution

The fourth proportional to 512.45, 768.45 and 204.20 is: 306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.45 : 768.45 = 204.20 : x
  2. Step 2: Convert to fraction form
    512.45/768.45 = 204.20/x
  3. Step 3: Cross multiply
    512.45x = 768.45 × 204.20
  4. Step 4: Simplify right side
    512.45x = 156,917.49
  5. Step 5: Solve for x
    x = 156,917.49/512.45
  6. Step 6: Final answer
    x = 306.21

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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.