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Finding the Fourth Proportional to 329.13, 454.41 and 231.12

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Solution

The fourth proportional to 329.13, 454.41 and 231.12 is: 319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.13 : 454.41 = 231.12 : x
  2. Step 2: Convert to fraction form
    329.13/454.41 = 231.12/x
  3. Step 3: Cross multiply
    329.13x = 454.41 × 231.12
  4. Step 4: Simplify right side
    329.13x = 105,023.24
  5. Step 5: Solve for x
    x = 105,023.24/329.13
  6. Step 6: Final answer
    x = 319.09

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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.