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Finding the Fourth Proportional to 323.95, 447.13 and 193.04

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Solution

The fourth proportional to 323.95, 447.13 and 193.04 is: 266.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.95 : 447.13 = 193.04 : x
  2. Step 2: Convert to fraction form
    323.95/447.13 = 193.04/x
  3. Step 3: Cross multiply
    323.95x = 447.13 × 193.04
  4. Step 4: Simplify right side
    323.95x = 86,313.98
  5. Step 5: Solve for x
    x = 86,313.98/323.95
  6. Step 6: Final answer
    x = 266.44

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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.