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Finding the Fourth Proportional to 548.72, 823.01 and 201.96

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Solution

The fourth proportional to 548.72, 823.01 and 201.96 is: 302.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.72 : 823.01 = 201.96 : x
  2. Step 2: Convert to fraction form
    548.72/823.01 = 201.96/x
  3. Step 3: Cross multiply
    548.72x = 823.01 × 201.96
  4. Step 4: Simplify right side
    548.72x = 166,215.23
  5. Step 5: Solve for x
    x = 166,215.23/548.72
  6. Step 6: Final answer
    x = 302.92

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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.