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Finding the Fourth Proportional to 325.92, 486.12 and 321.12

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Solution

The fourth proportional to 325.92, 486.12 and 321.12 is: 478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 486.12 = 321.12 : x
  2. Step 2: Convert to fraction form
    325.92/486.12 = 321.12/x
  3. Step 3: Cross multiply
    325.92x = 486.12 × 321.12
  4. Step 4: Simplify right side
    325.92x = 156,102.85
  5. Step 5: Solve for x
    x = 156,102.85/325.92
  6. Step 6: Final answer
    x = 478.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.