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Finding the Fourth Proportional to 353.75, 488.20 and 198.50

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Solution

The fourth proportional to 353.75, 488.20 and 198.50 is: 273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.75 : 488.20 = 198.50 : x
  2. Step 2: Convert to fraction form
    353.75/488.20 = 198.50/x
  3. Step 3: Cross multiply
    353.75x = 488.20 × 198.50
  4. Step 4: Simplify right side
    353.75x = 96,907.70
  5. Step 5: Solve for x
    x = 96,907.70/353.75
  6. Step 6: Final answer
    x = 273.94

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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.