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Finding the Fourth Proportional to 400.32, 552.46 and 225.67

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Solution

The fourth proportional to 400.32, 552.46 and 225.67 is: 311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.32 : 552.46 = 225.67 : x
  2. Step 2: Convert to fraction form
    400.32/552.46 = 225.67/x
  3. Step 3: Cross multiply
    400.32x = 552.46 × 225.67
  4. Step 4: Simplify right side
    400.32x = 124,673.65
  5. Step 5: Solve for x
    x = 124,673.65/400.32
  6. Step 6: Final answer
    x = 311.43

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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.