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Finding the Fourth Proportional to 198.74, 299.36 and 186.59

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Solution

The fourth proportional to 198.74, 299.36 and 186.59 is: 281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.74 : 299.36 = 186.59 : x
  2. Step 2: Convert to fraction form
    198.74/299.36 = 186.59/x
  3. Step 3: Cross multiply
    198.74x = 299.36 × 186.59
  4. Step 4: Simplify right side
    198.74x = 55,855.15
  5. Step 5: Solve for x
    x = 55,855.15/198.74
  6. Step 6: Final answer
    x = 281.05

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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.