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Finding the Fourth Proportional to 323.90, 446.82 and 199.51

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Solution

The fourth proportional to 323.90, 446.82 and 199.51 is: 275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.90 : 446.82 = 199.51 : x
  2. Step 2: Convert to fraction form
    323.90/446.82 = 199.51/x
  3. Step 3: Cross multiply
    323.90x = 446.82 × 199.51
  4. Step 4: Simplify right side
    323.90x = 89,145.06
  5. Step 5: Solve for x
    x = 89,145.06/323.90
  6. Step 6: Final answer
    x = 275.22

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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.