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Finding the Fourth Proportional to 322.80, 445.32 and 224.64

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Solution

The fourth proportional to 322.80, 445.32 and 224.64 is: 309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.80 : 445.32 = 224.64 : x
  2. Step 2: Convert to fraction form
    322.80/445.32 = 224.64/x
  3. Step 3: Cross multiply
    322.80x = 445.32 × 224.64
  4. Step 4: Simplify right side
    322.80x = 100,036.68
  5. Step 5: Solve for x
    x = 100,036.68/322.80
  6. Step 6: Final answer
    x = 309.90

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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.