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Finding the Fourth Proportional to 198.12, 274.82 and 187.74

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Solution

The fourth proportional to 198.12, 274.82 and 187.74 is: 260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.12 : 274.82 = 187.74 : x
  2. Step 2: Convert to fraction form
    198.12/274.82 = 187.74/x
  3. Step 3: Cross multiply
    198.12x = 274.82 × 187.74
  4. Step 4: Simplify right side
    198.12x = 51,594.71
  5. Step 5: Solve for x
    x = 51,594.71/198.12
  6. Step 6: Final answer
    x = 260.42

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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.