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Finding the Fourth Proportional to 321.06, 481.68 and 115.76

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Solution

The fourth proportional to 321.06, 481.68 and 115.76 is: 173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.06 : 481.68 = 115.76 : x
  2. Step 2: Convert to fraction form
    321.06/481.68 = 115.76/x
  3. Step 3: Cross multiply
    321.06x = 481.68 × 115.76
  4. Step 4: Simplify right side
    321.06x = 55,756.87
  5. Step 5: Solve for x
    x = 55,756.87/321.06
  6. Step 6: Final answer
    x = 173.66

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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.