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Finding the Fourth Proportional to 323.95, 447.05 and 211.99

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Solution

The fourth proportional to 323.95, 447.05 and 211.99 is: 292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.95 : 447.05 = 211.99 : x
  2. Step 2: Convert to fraction form
    323.95/447.05 = 211.99/x
  3. Step 3: Cross multiply
    323.95x = 447.05 × 211.99
  4. Step 4: Simplify right side
    323.95x = 94,770.85
  5. Step 5: Solve for x
    x = 94,770.85/323.95
  6. Step 6: Final answer
    x = 292.55

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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.