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Finding the Fourth Proportional to 249.43, 344.30 and 208.46

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Solution

The fourth proportional to 249.43, 344.30 and 208.46 is: 287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.43 : 344.30 = 208.46 : x
  2. Step 2: Convert to fraction form
    249.43/344.30 = 208.46/x
  3. Step 3: Cross multiply
    249.43x = 344.30 × 208.46
  4. Step 4: Simplify right side
    249.43x = 71,772.78
  5. Step 5: Solve for x
    x = 71,772.78/249.43
  6. Step 6: Final answer
    x = 287.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.