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Finding the Fourth Proportional to 322.15, 443.64 and 223.73

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Solution

The fourth proportional to 322.15, 443.64 and 223.73 is: 308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.15 : 443.64 = 223.73 : x
  2. Step 2: Convert to fraction form
    322.15/443.64 = 223.73/x
  3. Step 3: Cross multiply
    322.15x = 443.64 × 223.73
  4. Step 4: Simplify right side
    322.15x = 99,255.58
  5. Step 5: Solve for x
    x = 99,255.58/322.15
  6. Step 6: Final answer
    x = 308.10

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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.