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Finding the Fourth Proportional to 322.52, 444.85 and 229.12

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Solution

The fourth proportional to 322.52, 444.85 and 229.12 is: 316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.52 : 444.85 = 229.12 : x
  2. Step 2: Convert to fraction form
    322.52/444.85 = 229.12/x
  3. Step 3: Cross multiply
    322.52x = 444.85 × 229.12
  4. Step 4: Simplify right side
    322.52x = 101,924.03
  5. Step 5: Solve for x
    x = 101,924.03/322.52
  6. Step 6: Final answer
    x = 316.02

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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.