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Finding the Fourth Proportional to 322.24, 444.72 and 197.87

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Solution

The fourth proportional to 322.24, 444.72 and 197.87 is: 273.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.24 : 444.72 = 197.87 : x
  2. Step 2: Convert to fraction form
    322.24/444.72 = 197.87/x
  3. Step 3: Cross multiply
    322.24x = 444.72 × 197.87
  4. Step 4: Simplify right side
    322.24x = 87,995.76
  5. Step 5: Solve for x
    x = 87,995.76/322.24
  6. Step 6: Final answer
    x = 273.08

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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.