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Finding the Fourth Proportional to 327.22, 454.70 and 323.14

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Solution

The fourth proportional to 327.22, 454.70 and 323.14 is: 449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.22 : 454.70 = 323.14 : x
  2. Step 2: Convert to fraction form
    327.22/454.70 = 323.14/x
  3. Step 3: Cross multiply
    327.22x = 454.70 × 323.14
  4. Step 4: Simplify right side
    327.22x = 146,930.14
  5. Step 5: Solve for x
    x = 146,930.14/327.22
  6. Step 6: Final answer
    x = 449.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.