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Finding the Fourth Proportional to 323.11, 445.66 and 224.90

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Solution

The fourth proportional to 323.11, 445.66 and 224.90 is: 310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.11 : 445.66 = 224.90 : x
  2. Step 2: Convert to fraction form
    323.11/445.66 = 224.90/x
  3. Step 3: Cross multiply
    323.11x = 445.66 × 224.90
  4. Step 4: Simplify right side
    323.11x = 100,228.93
  5. Step 5: Solve for x
    x = 100,228.93/323.11
  6. Step 6: Final answer
    x = 310.20

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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.