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Finding the Fourth Proportional to 322.38, 444.74 and 197.99

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Solution

The fourth proportional to 322.38, 444.74 and 197.99 is: 273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 444.74 = 197.99 : x
  2. Step 2: Convert to fraction form
    322.38/444.74 = 197.99/x
  3. Step 3: Cross multiply
    322.38x = 444.74 × 197.99
  4. Step 4: Simplify right side
    322.38x = 88,056.14
  5. Step 5: Solve for x
    x = 88,056.14/322.38
  6. Step 6: Final answer
    x = 273.14

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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.