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Finding the Fourth Proportional to 139.24, 190.64 and 137.92

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Solution

The fourth proportional to 139.24, 190.64 and 137.92 is: 188.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 190.64 = 137.92 : x
  2. Step 2: Convert to fraction form
    139.24/190.64 = 137.92/x
  3. Step 3: Cross multiply
    139.24x = 190.64 × 137.92
  4. Step 4: Simplify right side
    139.24x = 26,293.07
  5. Step 5: Solve for x
    x = 26,293.07/139.24
  6. Step 6: Final answer
    x = 188.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.