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Finding the Fourth Proportional to 194.20, 267.98 and 106.86

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Solution

The fourth proportional to 194.20, 267.98 and 106.86 is: 147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.20 : 267.98 = 106.86 : x
  2. Step 2: Convert to fraction form
    194.20/267.98 = 106.86/x
  3. Step 3: Cross multiply
    194.20x = 267.98 × 106.86
  4. Step 4: Simplify right side
    194.20x = 28,636.81
  5. Step 5: Solve for x
    x = 28,636.81/194.20
  6. Step 6: Final answer
    x = 147.46

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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.