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Finding the Fourth Proportional to 322.72, 484.31 and 220.21

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Solution

The fourth proportional to 322.72, 484.31 and 220.21 is: 330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 484.31 = 220.21 : x
  2. Step 2: Convert to fraction form
    322.72/484.31 = 220.21/x
  3. Step 3: Cross multiply
    322.72x = 484.31 × 220.21
  4. Step 4: Simplify right side
    322.72x = 106,649.91
  5. Step 5: Solve for x
    x = 106,649.91/322.72
  6. Step 6: Final answer
    x = 330.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.