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Finding the Fourth Proportional to 241.92, 333.75 and 138.42

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Solution

The fourth proportional to 241.92, 333.75 and 138.42 is: 190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.92 : 333.75 = 138.42 : x
  2. Step 2: Convert to fraction form
    241.92/333.75 = 138.42/x
  3. Step 3: Cross multiply
    241.92x = 333.75 × 138.42
  4. Step 4: Simplify right side
    241.92x = 46,197.68
  5. Step 5: Solve for x
    x = 46,197.68/241.92
  6. Step 6: Final answer
    x = 190.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.