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Finding the Fourth Proportional to 323.98, 447.05 and 192.96

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Solution

The fourth proportional to 323.98, 447.05 and 192.96 is: 266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.98 : 447.05 = 192.96 : x
  2. Step 2: Convert to fraction form
    323.98/447.05 = 192.96/x
  3. Step 3: Cross multiply
    323.98x = 447.05 × 192.96
  4. Step 4: Simplify right side
    323.98x = 86,263.25
  5. Step 5: Solve for x
    x = 86,263.25/323.98
  6. Step 6: Final answer
    x = 266.26

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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.