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Finding the Fourth Proportional to 323.99, 447.17 and 191.21

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Solution

The fourth proportional to 323.99, 447.17 and 191.21 is: 263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.99 : 447.17 = 191.21 : x
  2. Step 2: Convert to fraction form
    323.99/447.17 = 191.21/x
  3. Step 3: Cross multiply
    323.99x = 447.17 × 191.21
  4. Step 4: Simplify right side
    323.99x = 85,501.26
  5. Step 5: Solve for x
    x = 85,501.26/323.99
  6. Step 6: Final answer
    x = 263.90

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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.