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Finding the Fourth Proportional to 249.94, 344.70 and 200.80

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Solution

The fourth proportional to 249.94, 344.70 and 200.80 is: 276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.94 : 344.70 = 200.80 : x
  2. Step 2: Convert to fraction form
    249.94/344.70 = 200.80/x
  3. Step 3: Cross multiply
    249.94x = 344.70 × 200.80
  4. Step 4: Simplify right side
    249.94x = 69,215.76
  5. Step 5: Solve for x
    x = 69,215.76/249.94
  6. Step 6: Final answer
    x = 276.93

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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.