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Finding the Fourth Proportional to 249.54, 343.88 and 187.44

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Solution

The fourth proportional to 249.54, 343.88 and 187.44 is: 258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.54 : 343.88 = 187.44 : x
  2. Step 2: Convert to fraction form
    249.54/343.88 = 187.44/x
  3. Step 3: Cross multiply
    249.54x = 343.88 × 187.44
  4. Step 4: Simplify right side
    249.54x = 64,456.87
  5. Step 5: Solve for x
    x = 64,456.87/249.54
  6. Step 6: Final answer
    x = 258.30

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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.