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Finding the Fourth Proportional to 241.75, 333.64 and 138.27

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Solution

The fourth proportional to 241.75, 333.64 and 138.27 is: 190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.75 : 333.64 = 138.27 : x
  2. Step 2: Convert to fraction form
    241.75/333.64 = 138.27/x
  3. Step 3: Cross multiply
    241.75x = 333.64 × 138.27
  4. Step 4: Simplify right side
    241.75x = 46,131.71
  5. Step 5: Solve for x
    x = 46,131.71/241.75
  6. Step 6: Final answer
    x = 190.82

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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.