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Finding the Fourth Proportional to 321.75, 443.80 and 238.93

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Solution

The fourth proportional to 321.75, 443.80 and 238.93 is: 329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 443.80 = 238.93 : x
  2. Step 2: Convert to fraction form
    321.75/443.80 = 238.93/x
  3. Step 3: Cross multiply
    321.75x = 443.80 × 238.93
  4. Step 4: Simplify right side
    321.75x = 106,037.13
  5. Step 5: Solve for x
    x = 106,037.13/321.75
  6. Step 6: Final answer
    x = 329.56

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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.