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Finding the Fourth Proportional to 321.44, 443.78 and 243.68

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Solution

The fourth proportional to 321.44, 443.78 and 243.68 is: 336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.44 : 443.78 = 243.68 : x
  2. Step 2: Convert to fraction form
    321.44/443.78 = 243.68/x
  3. Step 3: Cross multiply
    321.44x = 443.78 × 243.68
  4. Step 4: Simplify right side
    321.44x = 108,137.98
  5. Step 5: Solve for x
    x = 108,137.98/321.44
  6. Step 6: Final answer
    x = 336.42

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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.