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Finding the Fourth Proportional to 194.44, 268.14 and 139.18

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Solution

The fourth proportional to 194.44, 268.14 and 139.18 is: 191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.44 : 268.14 = 139.18 : x
  2. Step 2: Convert to fraction form
    194.44/268.14 = 139.18/x
  3. Step 3: Cross multiply
    194.44x = 268.14 × 139.18
  4. Step 4: Simplify right side
    194.44x = 37,319.73
  5. Step 5: Solve for x
    x = 37,319.73/194.44
  6. Step 6: Final answer
    x = 191.93

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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.