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Finding the Fourth Proportional to 249.20, 343.68 and 200.06

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Solution

The fourth proportional to 249.20, 343.68 and 200.06 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.20 : 343.68 = 200.06 : x
  2. Step 2: Convert to fraction form
    249.20/343.68 = 200.06/x
  3. Step 3: Cross multiply
    249.20x = 343.68 × 200.06
  4. Step 4: Simplify right side
    249.20x = 68,756.62
  5. Step 5: Solve for x
    x = 68,756.62/249.20
  6. Step 6: Final answer
    x = 275.91

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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.