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Finding the Fourth Proportional to 329.13, 454.16 and 189.23

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Solution

The fourth proportional to 329.13, 454.16 and 189.23 is: 261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.13 : 454.16 = 189.23 : x
  2. Step 2: Convert to fraction form
    329.13/454.16 = 189.23/x
  3. Step 3: Cross multiply
    329.13x = 454.16 × 189.23
  4. Step 4: Simplify right side
    329.13x = 85,937.48
  5. Step 5: Solve for x
    x = 85,937.48/329.13
  6. Step 6: Final answer
    x = 261.10

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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.