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Finding the Fourth Proportional to 325.92, 447.32 and 298.12

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Solution

The fourth proportional to 325.92, 447.32 and 298.12 is: 409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 447.32 = 298.12 : x
  2. Step 2: Convert to fraction form
    325.92/447.32 = 298.12/x
  3. Step 3: Cross multiply
    325.92x = 447.32 × 298.12
  4. Step 4: Simplify right side
    325.92x = 133,355.04
  5. Step 5: Solve for x
    x = 133,355.04/325.92
  6. Step 6: Final answer
    x = 409.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.