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Finding the Fourth Proportional to 323.70, 446.72 and 199.32

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Solution

The fourth proportional to 323.70, 446.72 and 199.32 is: 275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.70 : 446.72 = 199.32 : x
  2. Step 2: Convert to fraction form
    323.70/446.72 = 199.32/x
  3. Step 3: Cross multiply
    323.70x = 446.72 × 199.32
  4. Step 4: Simplify right side
    323.70x = 89,040.23
  5. Step 5: Solve for x
    x = 89,040.23/323.70
  6. Step 6: Final answer
    x = 275.07

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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.