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Finding the Fourth Proportional to 329.27, 454.41 and 189.39

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Solution

The fourth proportional to 329.27, 454.41 and 189.39 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.27 : 454.41 = 189.39 : x
  2. Step 2: Convert to fraction form
    329.27/454.41 = 189.39/x
  3. Step 3: Cross multiply
    329.27x = 454.41 × 189.39
  4. Step 4: Simplify right side
    329.27x = 86,059.86
  5. Step 5: Solve for x
    x = 86,059.86/329.27
  6. Step 6: Final answer
    x = 261.37

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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.