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Finding the Fourth Proportional to 481.14, 721.71 and 311.22

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Solution

The fourth proportional to 481.14, 721.71 and 311.22 is: 466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.14 : 721.71 = 311.22 : x
  2. Step 2: Convert to fraction form
    481.14/721.71 = 311.22/x
  3. Step 3: Cross multiply
    481.14x = 721.71 × 311.22
  4. Step 4: Simplify right side
    481.14x = 224,610.59
  5. Step 5: Solve for x
    x = 224,610.59/481.14
  6. Step 6: Final answer
    x = 466.83

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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.