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Finding the Fourth Proportional to 139.93, 208.70 and 137.86

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Solution

The fourth proportional to 139.93, 208.70 and 137.86 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.93 : 208.70 = 137.86 : x
  2. Step 2: Convert to fraction form
    139.93/208.70 = 137.86/x
  3. Step 3: Cross multiply
    139.93x = 208.70 × 137.86
  4. Step 4: Simplify right side
    139.93x = 28,771.38
  5. Step 5: Solve for x
    x = 28,771.38/139.93
  6. Step 6: Final answer
    x = 205.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.