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Finding the Fourth Proportional to 241.20, 361.56 and 119.55

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Solution

The fourth proportional to 241.20, 361.56 and 119.55 is: 179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.20 : 361.56 = 119.55 : x
  2. Step 2: Convert to fraction form
    241.20/361.56 = 119.55/x
  3. Step 3: Cross multiply
    241.20x = 361.56 × 119.55
  4. Step 4: Simplify right side
    241.20x = 43,224.50
  5. Step 5: Solve for x
    x = 43,224.50/241.20
  6. Step 6: Final answer
    x = 179.21

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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.