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Finding the Fourth Proportional to 241.98, 334.19 and 195.81

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Solution

The fourth proportional to 241.98, 334.19 and 195.81 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.98 : 334.19 = 195.81 : x
  2. Step 2: Convert to fraction form
    241.98/334.19 = 195.81/x
  3. Step 3: Cross multiply
    241.98x = 334.19 × 195.81
  4. Step 4: Simplify right side
    241.98x = 65,437.74
  5. Step 5: Solve for x
    x = 65,437.74/241.98
  6. Step 6: Final answer
    x = 270.43

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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.