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Finding the Fourth Proportional to 274.56, 413.45 and 198.06

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Solution

The fourth proportional to 274.56, 413.45 and 198.06 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.56 : 413.45 = 198.06 : x
  2. Step 2: Convert to fraction form
    274.56/413.45 = 198.06/x
  3. Step 3: Cross multiply
    274.56x = 413.45 × 198.06
  4. Step 4: Simplify right side
    274.56x = 81,886.85
  5. Step 5: Solve for x
    x = 81,886.85/274.56
  6. Step 6: Final answer
    x = 298.25

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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.