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Finding the Fourth Proportional to 283.49, 390.96 and 204.78

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Solution

The fourth proportional to 283.49, 390.96 and 204.78 is: 282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.49 : 390.96 = 204.78 : x
  2. Step 2: Convert to fraction form
    283.49/390.96 = 204.78/x
  3. Step 3: Cross multiply
    283.49x = 390.96 × 204.78
  4. Step 4: Simplify right side
    283.49x = 80,060.79
  5. Step 5: Solve for x
    x = 80,060.79/283.49
  6. Step 6: Final answer
    x = 282.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.