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Finding the Fourth Proportional to 322.17, 447.68 and 318.83

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Solution

The fourth proportional to 322.17, 447.68 and 318.83 is: 443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.17 : 447.68 = 318.83 : x
  2. Step 2: Convert to fraction form
    322.17/447.68 = 318.83/x
  3. Step 3: Cross multiply
    322.17x = 447.68 × 318.83
  4. Step 4: Simplify right side
    322.17x = 142,729.98
  5. Step 5: Solve for x
    x = 142,729.98/322.17
  6. Step 6: Final answer
    x = 443.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.