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Finding the Fourth Proportional to 241.59, 333.34 and 138.09

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Solution

The fourth proportional to 241.59, 333.34 and 138.09 is: 190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.59 : 333.34 = 138.09 : x
  2. Step 2: Convert to fraction form
    241.59/333.34 = 138.09/x
  3. Step 3: Cross multiply
    241.59x = 333.34 × 138.09
  4. Step 4: Simplify right side
    241.59x = 46,030.92
  5. Step 5: Solve for x
    x = 46,030.92/241.59
  6. Step 6: Final answer
    x = 190.53

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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.