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Finding the Fourth Proportional to 322.25, 444.74 and 196.29

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Solution

The fourth proportional to 322.25, 444.74 and 196.29 is: 270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.25 : 444.74 = 196.29 : x
  2. Step 2: Convert to fraction form
    322.25/444.74 = 196.29/x
  3. Step 3: Cross multiply
    322.25x = 444.74 × 196.29
  4. Step 4: Simplify right side
    322.25x = 87,297.03
  5. Step 5: Solve for x
    x = 87,297.03/322.25
  6. Step 6: Final answer
    x = 270.90

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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.