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Finding the Fourth Proportional to 353.78, 488.21 and 198.53

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Solution

The fourth proportional to 353.78, 488.21 and 198.53 is: 273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.78 : 488.21 = 198.53 : x
  2. Step 2: Convert to fraction form
    353.78/488.21 = 198.53/x
  3. Step 3: Cross multiply
    353.78x = 488.21 × 198.53
  4. Step 4: Simplify right side
    353.78x = 96,923.72
  5. Step 5: Solve for x
    x = 96,923.72/353.78
  6. Step 6: Final answer
    x = 273.97

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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.