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Finding the Fourth Proportional to 249.25, 344.04 and 154.72

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Solution

The fourth proportional to 249.25, 344.04 and 154.72 is: 213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.25 : 344.04 = 154.72 : x
  2. Step 2: Convert to fraction form
    249.25/344.04 = 154.72/x
  3. Step 3: Cross multiply
    249.25x = 344.04 × 154.72
  4. Step 4: Simplify right side
    249.25x = 53,229.87
  5. Step 5: Solve for x
    x = 53,229.87/249.25
  6. Step 6: Final answer
    x = 213.56

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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.