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Finding the Fourth Proportional to 321.38, 481.91 and 138.67

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Solution

The fourth proportional to 321.38, 481.91 and 138.67 is: 207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.38 : 481.91 = 138.67 : x
  2. Step 2: Convert to fraction form
    321.38/481.91 = 138.67/x
  3. Step 3: Cross multiply
    321.38x = 481.91 × 138.67
  4. Step 4: Simplify right side
    321.38x = 66,826.46
  5. Step 5: Solve for x
    x = 66,826.46/321.38
  6. Step 6: Final answer
    x = 207.94

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