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Finding the Fourth Proportional to 322.44, 443.88 and 289.68

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Solution

The fourth proportional to 322.44, 443.88 and 289.68 is: 398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.44 : 443.88 = 289.68 : x
  2. Step 2: Convert to fraction form
    322.44/443.88 = 289.68/x
  3. Step 3: Cross multiply
    322.44x = 443.88 × 289.68
  4. Step 4: Simplify right side
    322.44x = 128,583.16
  5. Step 5: Solve for x
    x = 128,583.16/322.44
  6. Step 6: Final answer
    x = 398.78

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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.