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Finding the Fourth Proportional to 329.13, 451.19 and 323.24

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Solution

The fourth proportional to 329.13, 451.19 and 323.24 is: 443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.13 : 451.19 = 323.24 : x
  2. Step 2: Convert to fraction form
    329.13/451.19 = 323.24/x
  3. Step 3: Cross multiply
    329.13x = 451.19 × 323.24
  4. Step 4: Simplify right side
    329.13x = 145,841.93
  5. Step 5: Solve for x
    x = 145,841.93/329.13
  6. Step 6: Final answer
    x = 443.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.