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Finding the Fourth Proportional to 324.75, 447.85 and 242.04

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Solution

The fourth proportional to 324.75, 447.85 and 242.04 is: 333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.75 : 447.85 = 242.04 : x
  2. Step 2: Convert to fraction form
    324.75/447.85 = 242.04/x
  3. Step 3: Cross multiply
    324.75x = 447.85 × 242.04
  4. Step 4: Simplify right side
    324.75x = 108,397.61
  5. Step 5: Solve for x
    x = 108,397.61/324.75
  6. Step 6: Final answer
    x = 333.79

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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.