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Finding the Fourth Proportional to 194.13, 267.89 and 106.80

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Solution

The fourth proportional to 194.13, 267.89 and 106.80 is: 147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.13 : 267.89 = 106.80 : x
  2. Step 2: Convert to fraction form
    194.13/267.89 = 106.80/x
  3. Step 3: Cross multiply
    194.13x = 267.89 × 106.80
  4. Step 4: Simplify right side
    194.13x = 28,609.58
  5. Step 5: Solve for x
    x = 28,609.58/194.13
  6. Step 6: Final answer
    x = 147.38

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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.