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Finding the Fourth Proportional to 194.95, 269.03 and 106.43

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Solution

The fourth proportional to 194.95, 269.03 and 106.43 is: 146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.95 : 269.03 = 106.43 : x
  2. Step 2: Convert to fraction form
    194.95/269.03 = 106.43/x
  3. Step 3: Cross multiply
    194.95x = 269.03 × 106.43
  4. Step 4: Simplify right side
    194.95x = 28,633.10
  5. Step 5: Solve for x
    x = 28,633.10/194.95
  6. Step 6: Final answer
    x = 146.87

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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.