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Finding the Fourth Proportional to 198.15, 271.98 and 189.69

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Solution

The fourth proportional to 198.15, 271.98 and 189.69 is: 260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.15 : 271.98 = 189.69 : x
  2. Step 2: Convert to fraction form
    198.15/271.98 = 189.69/x
  3. Step 3: Cross multiply
    198.15x = 271.98 × 189.69
  4. Step 4: Simplify right side
    198.15x = 51,591.10
  5. Step 5: Solve for x
    x = 51,591.10/198.15
  6. Step 6: Final answer
    x = 260.37

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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.