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Finding the Fourth Proportional to 137.81, 205.76 and 126.27

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Solution

The fourth proportional to 137.81, 205.76 and 126.27 is: 188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.81 : 205.76 = 126.27 : x
  2. Step 2: Convert to fraction form
    137.81/205.76 = 126.27/x
  3. Step 3: Cross multiply
    137.81x = 205.76 × 126.27
  4. Step 4: Simplify right side
    137.81x = 25,980.68
  5. Step 5: Solve for x
    x = 25,980.68/137.81
  6. Step 6: Final answer
    x = 188.53

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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.