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Finding the Fourth Proportional to 329.86, 454.96 and 211.86

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Solution

The fourth proportional to 329.86, 454.96 and 211.86 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.86 : 454.96 = 211.86 : x
  2. Step 2: Convert to fraction form
    329.86/454.96 = 211.86/x
  3. Step 3: Cross multiply
    329.86x = 454.96 × 211.86
  4. Step 4: Simplify right side
    329.86x = 96,387.83
  5. Step 5: Solve for x
    x = 96,387.83/329.86
  6. Step 6: Final answer
    x = 292.21

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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.