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Finding the Fourth Proportional to 241.37, 361.96 and 138.72

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Solution

The fourth proportional to 241.37, 361.96 and 138.72 is: 208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.37 : 361.96 = 138.72 : x
  2. Step 2: Convert to fraction form
    241.37/361.96 = 138.72/x
  3. Step 3: Cross multiply
    241.37x = 361.96 × 138.72
  4. Step 4: Simplify right side
    241.37x = 50,211.09
  5. Step 5: Solve for x
    x = 50,211.09/241.37
  6. Step 6: Final answer
    x = 208.03

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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.