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Finding the Fourth Proportional to 548.43, 822.97 and 240.33

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Solution

The fourth proportional to 548.43, 822.97 and 240.33 is: 360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.43 : 822.97 = 240.33 : x
  2. Step 2: Convert to fraction form
    548.43/822.97 = 240.33/x
  3. Step 3: Cross multiply
    548.43x = 822.97 × 240.33
  4. Step 4: Simplify right side
    548.43x = 197,784.38
  5. Step 5: Solve for x
    x = 197,784.38/548.43
  6. Step 6: Final answer
    x = 360.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.