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Finding the Fourth Proportional to 334.75, 461.86 and 194.88

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Solution

The fourth proportional to 334.75, 461.86 and 194.88 is: 268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.75 : 461.86 = 194.88 : x
  2. Step 2: Convert to fraction form
    334.75/461.86 = 194.88/x
  3. Step 3: Cross multiply
    334.75x = 461.86 × 194.88
  4. Step 4: Simplify right side
    334.75x = 90,007.28
  5. Step 5: Solve for x
    x = 90,007.28/334.75
  6. Step 6: Final answer
    x = 268.88

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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.