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Finding the Fourth Proportional to 322.03, 444.27 and 197.65

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Solution

The fourth proportional to 322.03, 444.27 and 197.65 is: 272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.03 : 444.27 = 197.65 : x
  2. Step 2: Convert to fraction form
    322.03/444.27 = 197.65/x
  3. Step 3: Cross multiply
    322.03x = 444.27 × 197.65
  4. Step 4: Simplify right side
    322.03x = 87,809.97
  5. Step 5: Solve for x
    x = 87,809.97/322.03
  6. Step 6: Final answer
    x = 272.68

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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.