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Finding the Fourth Proportional to 249.92, 344.98 and 208.96

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Solution

The fourth proportional to 249.92, 344.98 and 208.96 is: 288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.92 : 344.98 = 208.96 : x
  2. Step 2: Convert to fraction form
    249.92/344.98 = 208.96/x
  3. Step 3: Cross multiply
    249.92x = 344.98 × 208.96
  4. Step 4: Simplify right side
    249.92x = 72,087.02
  5. Step 5: Solve for x
    x = 72,087.02/249.92
  6. Step 6: Final answer
    x = 288.44

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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.