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Finding the Fourth Proportional to 400.61, 552.82 and 225.96

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Solution

The fourth proportional to 400.61, 552.82 and 225.96 is: 311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.61 : 552.82 = 225.96 : x
  2. Step 2: Convert to fraction form
    400.61/552.82 = 225.96/x
  3. Step 3: Cross multiply
    400.61x = 552.82 × 225.96
  4. Step 4: Simplify right side
    400.61x = 124,915.21
  5. Step 5: Solve for x
    x = 124,915.21/400.61
  6. Step 6: Final answer
    x = 311.81

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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.