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Finding the Fourth Proportional to 320.92, 443.46 and 238.12

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Solution

The fourth proportional to 320.92, 443.46 and 238.12 is: 329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.92 : 443.46 = 238.12 : x
  2. Step 2: Convert to fraction form
    320.92/443.46 = 238.12/x
  3. Step 3: Cross multiply
    320.92x = 443.46 × 238.12
  4. Step 4: Simplify right side
    320.92x = 105,596.70
  5. Step 5: Solve for x
    x = 105,596.70/320.92
  6. Step 6: Final answer
    x = 329.04

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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.