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Finding the Fourth Proportional to 322.80, 445.40 and 223.32

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Solution

The fourth proportional to 322.80, 445.40 and 223.32 is: 308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.80 : 445.40 = 223.32 : x
  2. Step 2: Convert to fraction form
    322.80/445.40 = 223.32/x
  3. Step 3: Cross multiply
    322.80x = 445.40 × 223.32
  4. Step 4: Simplify right side
    322.80x = 99,466.73
  5. Step 5: Solve for x
    x = 99,466.73/322.80
  6. Step 6: Final answer
    x = 308.14

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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.