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Finding the Fourth Proportional to 241.28, 360.29 and 198.03

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Solution

The fourth proportional to 241.28, 360.29 and 198.03 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.28 : 360.29 = 198.03 : x
  2. Step 2: Convert to fraction form
    241.28/360.29 = 198.03/x
  3. Step 3: Cross multiply
    241.28x = 360.29 × 198.03
  4. Step 4: Simplify right side
    241.28x = 71,348.23
  5. Step 5: Solve for x
    x = 71,348.23/241.28
  6. Step 6: Final answer
    x = 295.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.