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Finding the Fourth Proportional to 548.90, 822.48 and 201.75

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Solution

The fourth proportional to 548.90, 822.48 and 201.75 is: 302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.90 : 822.48 = 201.75 : x
  2. Step 2: Convert to fraction form
    548.90/822.48 = 201.75/x
  3. Step 3: Cross multiply
    548.90x = 822.48 × 201.75
  4. Step 4: Simplify right side
    548.90x = 165,934.33
  5. Step 5: Solve for x
    x = 165,934.33/548.90
  6. Step 6: Final answer
    x = 302.31

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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.