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Finding the Fourth Proportional to 400.75, 553.10 and 223.73

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Solution

The fourth proportional to 400.75, 553.10 and 223.73 is: 308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.75 : 553.10 = 223.73 : x
  2. Step 2: Convert to fraction form
    400.75/553.10 = 223.73/x
  3. Step 3: Cross multiply
    400.75x = 553.10 × 223.73
  4. Step 4: Simplify right side
    400.75x = 123,743.25
  5. Step 5: Solve for x
    x = 123,743.25/400.75
  6. Step 6: Final answer
    x = 308.78

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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.