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Finding the Fourth Proportional to 137.77, 189.91 and 108.61

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Solution

The fourth proportional to 137.77, 189.91 and 108.61 is: 149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.77 : 189.91 = 108.61 : x
  2. Step 2: Convert to fraction form
    137.77/189.91 = 108.61/x
  3. Step 3: Cross multiply
    137.77x = 189.91 × 108.61
  4. Step 4: Simplify right side
    137.77x = 20,626.13
  5. Step 5: Solve for x
    x = 20,626.13/137.77
  6. Step 6: Final answer
    x = 149.71

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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.