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Finding the Fourth Proportional to 241.44, 361.84 and 199.20

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Solution

The fourth proportional to 241.44, 361.84 and 199.20 is: 298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.44 : 361.84 = 199.20 : x
  2. Step 2: Convert to fraction form
    241.44/361.84 = 199.20/x
  3. Step 3: Cross multiply
    241.44x = 361.84 × 199.20
  4. Step 4: Simplify right side
    241.44x = 72,078.53
  5. Step 5: Solve for x
    x = 72,078.53/241.44
  6. Step 6: Final answer
    x = 298.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.