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Finding the Fourth Proportional to 198.55, 297.82 and 187.21

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Solution

The fourth proportional to 198.55, 297.82 and 187.21 is: 280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.55 : 297.82 = 187.21 : x
  2. Step 2: Convert to fraction form
    198.55/297.82 = 187.21/x
  3. Step 3: Cross multiply
    198.55x = 297.82 × 187.21
  4. Step 4: Simplify right side
    198.55x = 55,752.93
  5. Step 5: Solve for x
    x = 55,752.93/198.55
  6. Step 6: Final answer
    x = 280.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.