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Finding the Fourth Proportional to 323.53, 446.63 and 199.22

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Solution

The fourth proportional to 323.53, 446.63 and 199.22 is: 275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.53 : 446.63 = 199.22 : x
  2. Step 2: Convert to fraction form
    323.53/446.63 = 199.22/x
  3. Step 3: Cross multiply
    323.53x = 446.63 × 199.22
  4. Step 4: Simplify right side
    323.53x = 88,974.40
  5. Step 5: Solve for x
    x = 88,974.40/323.53
  6. Step 6: Final answer
    x = 275.01

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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.