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Finding the Fourth Proportional to 321.17, 481.36 and 166.86

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Solution

The fourth proportional to 321.17, 481.36 and 166.86 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.17 : 481.36 = 166.86 : x
  2. Step 2: Convert to fraction form
    321.17/481.36 = 166.86/x
  3. Step 3: Cross multiply
    321.17x = 481.36 × 166.86
  4. Step 4: Simplify right side
    321.17x = 80,319.73
  5. Step 5: Solve for x
    x = 80,319.73/321.17
  6. Step 6: Final answer
    x = 250.08

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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.