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Finding the Fourth Proportional to 323.50, 446.34 and 199.04

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Solution

The fourth proportional to 323.50, 446.34 and 199.04 is: 274.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.50 : 446.34 = 199.04 : x
  2. Step 2: Convert to fraction form
    323.50/446.34 = 199.04/x
  3. Step 3: Cross multiply
    323.50x = 446.34 × 199.04
  4. Step 4: Simplify right side
    323.50x = 88,839.51
  5. Step 5: Solve for x
    x = 88,839.51/323.50
  6. Step 6: Final answer
    x = 274.62

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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.