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Finding the Fourth Proportional to 325.75, 449.23 and 243.04

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Solution

The fourth proportional to 325.75, 449.23 and 243.04 is: 335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.75 : 449.23 = 243.04 : x
  2. Step 2: Convert to fraction form
    325.75/449.23 = 243.04/x
  3. Step 3: Cross multiply
    325.75x = 449.23 × 243.04
  4. Step 4: Simplify right side
    325.75x = 109,180.86
  5. Step 5: Solve for x
    x = 109,180.86/325.75
  6. Step 6: Final answer
    x = 335.17

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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.