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Finding the Fourth Proportional to 322.13, 445.11 and 252.38

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Solution

The fourth proportional to 322.13, 445.11 and 252.38 is: 348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 445.11 = 252.38 : x
  2. Step 2: Convert to fraction form
    322.13/445.11 = 252.38/x
  3. Step 3: Cross multiply
    322.13x = 445.11 × 252.38
  4. Step 4: Simplify right side
    322.13x = 112,336.86
  5. Step 5: Solve for x
    x = 112,336.86/322.13
  6. Step 6: Final answer
    x = 348.73

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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.