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Finding the Fourth Proportional to 249.76, 344.72 and 208.27

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Solution

The fourth proportional to 249.76, 344.72 and 208.27 is: 287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.76 : 344.72 = 208.27 : x
  2. Step 2: Convert to fraction form
    249.76/344.72 = 208.27/x
  3. Step 3: Cross multiply
    249.76x = 344.72 × 208.27
  4. Step 4: Simplify right side
    249.76x = 71,793.79
  5. Step 5: Solve for x
    x = 71,793.79/249.76
  6. Step 6: Final answer
    x = 287.45

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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.