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Finding the Fourth Proportional to 268.20, 400.34 and 249.96

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Solution

The fourth proportional to 268.20, 400.34 and 249.96 is: 373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.20 : 400.34 = 249.96 : x
  2. Step 2: Convert to fraction form
    268.20/400.34 = 249.96/x
  3. Step 3: Cross multiply
    268.20x = 400.34 × 249.96
  4. Step 4: Simplify right side
    268.20x = 100,067.74
  5. Step 5: Solve for x
    x = 100,067.74/268.20
  6. Step 6: Final answer
    x = 373.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.