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Finding the Fourth Proportional to 249.70, 344.43 and 200.50

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Solution

The fourth proportional to 249.70, 344.43 and 200.50 is: 276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.70 : 344.43 = 200.50 : x
  2. Step 2: Convert to fraction form
    249.70/344.43 = 200.50/x
  3. Step 3: Cross multiply
    249.70x = 344.43 × 200.50
  4. Step 4: Simplify right side
    249.70x = 69,058.22
  5. Step 5: Solve for x
    x = 69,058.22/249.70
  6. Step 6: Final answer
    x = 276.56

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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.