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Finding the Fourth Proportional to 329.15, 454.11 and 211.23

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Solution

The fourth proportional to 329.15, 454.11 and 211.23 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.15 : 454.11 = 211.23 : x
  2. Step 2: Convert to fraction form
    329.15/454.11 = 211.23/x
  3. Step 3: Cross multiply
    329.15x = 454.11 × 211.23
  4. Step 4: Simplify right side
    329.15x = 95,921.66
  5. Step 5: Solve for x
    x = 95,921.66/329.15
  6. Step 6: Final answer
    x = 291.43

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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.