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Finding the Fourth Proportional to 198.59, 271.51 and 191.03

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Solution

The fourth proportional to 198.59, 271.51 and 191.03 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.59 : 271.51 = 191.03 : x
  2. Step 2: Convert to fraction form
    198.59/271.51 = 191.03/x
  3. Step 3: Cross multiply
    198.59x = 271.51 × 191.03
  4. Step 4: Simplify right side
    198.59x = 51,866.56
  5. Step 5: Solve for x
    x = 51,866.56/198.59
  6. Step 6: Final answer
    x = 261.17

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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.