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Finding the Fourth Proportional to 329.32, 454.31 and 189.43

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Solution

The fourth proportional to 329.32, 454.31 and 189.43 is: 261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.32 : 454.31 = 189.43 : x
  2. Step 2: Convert to fraction form
    329.32/454.31 = 189.43/x
  3. Step 3: Cross multiply
    329.32x = 454.31 × 189.43
  4. Step 4: Simplify right side
    329.32x = 86,058.57
  5. Step 5: Solve for x
    x = 86,058.57/329.32
  6. Step 6: Final answer
    x = 261.32

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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.