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Finding the Fourth Proportional to 198.59, 299.61 and 191.76

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Solution

The fourth proportional to 198.59, 299.61 and 191.76 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.59 : 299.61 = 191.76 : x
  2. Step 2: Convert to fraction form
    198.59/299.61 = 191.76/x
  3. Step 3: Cross multiply
    198.59x = 299.61 × 191.76
  4. Step 4: Simplify right side
    198.59x = 57,453.21
  5. Step 5: Solve for x
    x = 57,453.21/198.59
  6. Step 6: Final answer
    x = 289.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.