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Finding the Fourth Proportional to 198.28, 275.02 and 190.99

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Solution

The fourth proportional to 198.28, 275.02 and 190.99 is: 264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.28 : 275.02 = 190.99 : x
  2. Step 2: Convert to fraction form
    198.28/275.02 = 190.99/x
  3. Step 3: Cross multiply
    198.28x = 275.02 × 190.99
  4. Step 4: Simplify right side
    198.28x = 52,526.07
  5. Step 5: Solve for x
    x = 52,526.07/198.28
  6. Step 6: Final answer
    x = 264.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.