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Finding the Fourth Proportional to 206.46, 283.25 and 204.78

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Solution

The fourth proportional to 206.46, 283.25 and 204.78 is: 280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 283.25 = 204.78 : x
  2. Step 2: Convert to fraction form
    206.46/283.25 = 204.78/x
  3. Step 3: Cross multiply
    206.46x = 283.25 × 204.78
  4. Step 4: Simplify right side
    206.46x = 58,002.91
  5. Step 5: Solve for x
    x = 58,002.91/206.46
  6. Step 6: Final answer
    x = 280.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.