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Finding the Fourth Proportional to 321.39, 443.09 and 242.80

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Solution

The fourth proportional to 321.39, 443.09 and 242.80 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.39 : 443.09 = 242.80 : x
  2. Step 2: Convert to fraction form
    321.39/443.09 = 242.80/x
  3. Step 3: Cross multiply
    321.39x = 443.09 × 242.80
  4. Step 4: Simplify right side
    321.39x = 107,581.75
  5. Step 5: Solve for x
    x = 107,581.75/321.39
  6. Step 6: Final answer
    x = 334.74

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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.