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Finding the Fourth Proportional to 139.97, 194.00 and 137.38

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Solution

The fourth proportional to 139.97, 194.00 and 137.38 is: 190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.97 : 194.00 = 137.38 : x
  2. Step 2: Convert to fraction form
    139.97/194.00 = 137.38/x
  3. Step 3: Cross multiply
    139.97x = 194.00 × 137.38
  4. Step 4: Simplify right side
    139.97x = 26,650.06
  5. Step 5: Solve for x
    x = 26,650.06/139.97
  6. Step 6: Final answer
    x = 190.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.