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Finding the Fourth Proportional to 481.27, 664.19 and 306.85

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Solution

The fourth proportional to 481.27, 664.19 and 306.85 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.27 : 664.19 = 306.85 : x
  2. Step 2: Convert to fraction form
    481.27/664.19 = 306.85/x
  3. Step 3: Cross multiply
    481.27x = 664.19 × 306.85
  4. Step 4: Simplify right side
    481.27x = 203,806.70
  5. Step 5: Solve for x
    x = 203,806.70/481.27
  6. Step 6: Final answer
    x = 423.48

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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.