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Finding the Fourth Proportional to 400.27, 552.40 and 225.65

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Solution

The fourth proportional to 400.27, 552.40 and 225.65 is: 311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.27 : 552.40 = 225.65 : x
  2. Step 2: Convert to fraction form
    400.27/552.40 = 225.65/x
  3. Step 3: Cross multiply
    400.27x = 552.40 × 225.65
  4. Step 4: Simplify right side
    400.27x = 124,645.73
  5. Step 5: Solve for x
    x = 124,645.73/400.27
  6. Step 6: Final answer
    x = 311.41

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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.