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Finding the Fourth Proportional to 323.67, 449.77 and 320.34

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Solution

The fourth proportional to 323.67, 449.77 and 320.34 is: 445.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.67 : 449.77 = 320.34 : x
  2. Step 2: Convert to fraction form
    323.67/449.77 = 320.34/x
  3. Step 3: Cross multiply
    323.67x = 449.77 × 320.34
  4. Step 4: Simplify right side
    323.67x = 144,078.52
  5. Step 5: Solve for x
    x = 144,078.52/323.67
  6. Step 6: Final answer
    x = 445.14

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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.