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Finding the Fourth Proportional to 322.12, 447.53 and 318.28

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Solution

The fourth proportional to 322.12, 447.53 and 318.28 is: 442.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 447.53 = 318.28 : x
  2. Step 2: Convert to fraction form
    322.12/447.53 = 318.28/x
  3. Step 3: Cross multiply
    322.12x = 447.53 × 318.28
  4. Step 4: Simplify right side
    322.12x = 142,439.85
  5. Step 5: Solve for x
    x = 142,439.85/322.12
  6. Step 6: Final answer
    x = 442.19

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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.