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Finding the Fourth Proportional to 323.94, 447.18 and 226.08

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Solution

The fourth proportional to 323.94, 447.18 and 226.08 is: 312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 447.18 = 226.08 : x
  2. Step 2: Convert to fraction form
    323.94/447.18 = 226.08/x
  3. Step 3: Cross multiply
    323.94x = 447.18 × 226.08
  4. Step 4: Simplify right side
    323.94x = 101,098.45
  5. Step 5: Solve for x
    x = 101,098.45/323.94
  6. Step 6: Final answer
    x = 312.09

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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.