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Finding the Fourth Proportional to 198.09, 270.83 and 190.53

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Solution

The fourth proportional to 198.09, 270.83 and 190.53 is: 260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.09 : 270.83 = 190.53 : x
  2. Step 2: Convert to fraction form
    198.09/270.83 = 190.53/x
  3. Step 3: Cross multiply
    198.09x = 270.83 × 190.53
  4. Step 4: Simplify right side
    198.09x = 51,600.29
  5. Step 5: Solve for x
    x = 51,600.29/198.09
  6. Step 6: Final answer
    x = 260.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.