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Finding the Fourth Proportional to 321.56, 481.92 and 197.78

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Solution

The fourth proportional to 321.56, 481.92 and 197.78 is: 296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.56 : 481.92 = 197.78 : x
  2. Step 2: Convert to fraction form
    321.56/481.92 = 197.78/x
  3. Step 3: Cross multiply
    321.56x = 481.92 × 197.78
  4. Step 4: Simplify right side
    321.56x = 95,314.14
  5. Step 5: Solve for x
    x = 95,314.14/321.56
  6. Step 6: Final answer
    x = 296.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.