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Finding the Fourth Proportional to 240.94, 363.05 and 198.55

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Solution

The fourth proportional to 240.94, 363.05 and 198.55 is: 299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.94 : 363.05 = 198.55 : x
  2. Step 2: Convert to fraction form
    240.94/363.05 = 198.55/x
  3. Step 3: Cross multiply
    240.94x = 363.05 × 198.55
  4. Step 4: Simplify right side
    240.94x = 72,083.78
  5. Step 5: Solve for x
    x = 72,083.78/240.94
  6. Step 6: Final answer
    x = 299.18

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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.