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Finding the Fourth Proportional to 241.75, 333.50 and 142.17

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Solution

The fourth proportional to 241.75, 333.50 and 142.17 is: 196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.75 : 333.50 = 142.17 : x
  2. Step 2: Convert to fraction form
    241.75/333.50 = 142.17/x
  3. Step 3: Cross multiply
    241.75x = 333.50 × 142.17
  4. Step 4: Simplify right side
    241.75x = 47,412.03
  5. Step 5: Solve for x
    x = 47,412.03/241.75
  6. Step 6: Final answer
    x = 196.12

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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.