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Finding the Fourth Proportional to 249.80, 344.17 and 186.52

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Solution

The fourth proportional to 249.80, 344.17 and 186.52 is: 256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.80 : 344.17 = 186.52 : x
  2. Step 2: Convert to fraction form
    249.80/344.17 = 186.52/x
  3. Step 3: Cross multiply
    249.80x = 344.17 × 186.52
  4. Step 4: Simplify right side
    249.80x = 64,193.68
  5. Step 5: Solve for x
    x = 64,193.68/249.80
  6. Step 6: Final answer
    x = 256.98

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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.