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Finding the Fourth Proportional to 322.97, 484.25 and 213.15

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Solution

The fourth proportional to 322.97, 484.25 and 213.15 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.97 : 484.25 = 213.15 : x
  2. Step 2: Convert to fraction form
    322.97/484.25 = 213.15/x
  3. Step 3: Cross multiply
    322.97x = 484.25 × 213.15
  4. Step 4: Simplify right side
    322.97x = 103,216.82
  5. Step 5: Solve for x
    x = 103,216.82/322.97
  6. Step 6: Final answer
    x = 319.59

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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.