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Finding the Fourth Proportional to 241.25, 332.91 and 137.75

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Solution

The fourth proportional to 241.25, 332.91 and 137.75 is: 190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.25 : 332.91 = 137.75 : x
  2. Step 2: Convert to fraction form
    241.25/332.91 = 137.75/x
  3. Step 3: Cross multiply
    241.25x = 332.91 × 137.75
  4. Step 4: Simplify right side
    241.25x = 45,856.69
  5. Step 5: Solve for x
    x = 45,856.69/241.25
  6. Step 6: Final answer
    x = 190.08

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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.