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Finding the Fourth Proportional to 194.26, 268.07 and 105.73

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Solution

The fourth proportional to 194.26, 268.07 and 105.73 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.26 : 268.07 = 105.73 : x
  2. Step 2: Convert to fraction form
    194.26/268.07 = 105.73/x
  3. Step 3: Cross multiply
    194.26x = 268.07 × 105.73
  4. Step 4: Simplify right side
    194.26x = 28,342.51
  5. Step 5: Solve for x
    x = 28,342.51/194.26
  6. Step 6: Final answer
    x = 145.90

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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.