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Finding the Fourth Proportional to 249.75, 344.32 and 218.38

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Solution

The fourth proportional to 249.75, 344.32 and 218.38 is: 301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.75 : 344.32 = 218.38 : x
  2. Step 2: Convert to fraction form
    249.75/344.32 = 218.38/x
  3. Step 3: Cross multiply
    249.75x = 344.32 × 218.38
  4. Step 4: Simplify right side
    249.75x = 75,192.60
  5. Step 5: Solve for x
    x = 75,192.60/249.75
  6. Step 6: Final answer
    x = 301.07

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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.