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Finding the Fourth Proportional to 274.85, 413.87 and 198.34

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Solution

The fourth proportional to 274.85, 413.87 and 198.34 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.85 : 413.87 = 198.34 : x
  2. Step 2: Convert to fraction form
    274.85/413.87 = 198.34/x
  3. Step 3: Cross multiply
    274.85x = 413.87 × 198.34
  4. Step 4: Simplify right side
    274.85x = 82,086.44
  5. Step 5: Solve for x
    x = 82,086.44/274.85
  6. Step 6: Final answer
    x = 298.66

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