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Finding the Fourth Proportional to 321.98, 444.47 and 197.69

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Solution

The fourth proportional to 321.98, 444.47 and 197.69 is: 272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.98 : 444.47 = 197.69 : x
  2. Step 2: Convert to fraction form
    321.98/444.47 = 197.69/x
  3. Step 3: Cross multiply
    321.98x = 444.47 × 197.69
  4. Step 4: Simplify right side
    321.98x = 87,867.68
  5. Step 5: Solve for x
    x = 87,867.68/321.98
  6. Step 6: Final answer
    x = 272.90

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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.