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Finding the Fourth Proportional to 208.50, 287.24 and 198.78

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Solution

The fourth proportional to 208.50, 287.24 and 198.78 is: 273.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.50 : 287.24 = 198.78 : x
  2. Step 2: Convert to fraction form
    208.50/287.24 = 198.78/x
  3. Step 3: Cross multiply
    208.50x = 287.24 × 198.78
  4. Step 4: Simplify right side
    208.50x = 57,096.57
  5. Step 5: Solve for x
    x = 57,096.57/208.50
  6. Step 6: Final answer
    x = 273.84

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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.