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Finding the Fourth Proportional to 322.20, 479.52 and 315.72

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Solution

The fourth proportional to 322.20, 479.52 and 315.72 is: 469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.20 : 479.52 = 315.72 : x
  2. Step 2: Convert to fraction form
    322.20/479.52 = 315.72/x
  3. Step 3: Cross multiply
    322.20x = 479.52 × 315.72
  4. Step 4: Simplify right side
    322.20x = 151,394.05
  5. Step 5: Solve for x
    x = 151,394.05/322.20
  6. Step 6: Final answer
    x = 469.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.