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Finding the Fourth Proportional to 323.78, 446.99 and 248.48

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Solution

The fourth proportional to 323.78, 446.99 and 248.48 is: 343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.78 : 446.99 = 248.48 : x
  2. Step 2: Convert to fraction form
    323.78/446.99 = 248.48/x
  3. Step 3: Cross multiply
    323.78x = 446.99 × 248.48
  4. Step 4: Simplify right side
    323.78x = 111,064.60
  5. Step 5: Solve for x
    x = 111,064.60/323.78
  6. Step 6: Final answer
    x = 343.03

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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.