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Finding the Fourth Proportional to 252.93, 380.79 and 198.38

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Solution

The fourth proportional to 252.93, 380.79 and 198.38 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.93 : 380.79 = 198.38 : x
  2. Step 2: Convert to fraction form
    252.93/380.79 = 198.38/x
  3. Step 3: Cross multiply
    252.93x = 380.79 × 198.38
  4. Step 4: Simplify right side
    252.93x = 75,539.22
  5. Step 5: Solve for x
    x = 75,539.22/252.93
  6. Step 6: Final answer
    x = 298.66

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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.