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Finding the Fourth Proportional to 249.20, 343.56 and 204.78

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Solution

The fourth proportional to 249.20, 343.56 and 204.78 is: 282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.20 : 343.56 = 204.78 : x
  2. Step 2: Convert to fraction form
    249.20/343.56 = 204.78/x
  3. Step 3: Cross multiply
    249.20x = 343.56 × 204.78
  4. Step 4: Simplify right side
    249.20x = 70,354.22
  5. Step 5: Solve for x
    x = 70,354.22/249.20
  6. Step 6: Final answer
    x = 282.32

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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.