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Finding the Fourth Proportional to 138.22, 190.69 and 91.63

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Solution

The fourth proportional to 138.22, 190.69 and 91.63 is: 126.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.22 : 190.69 = 91.63 : x
  2. Step 2: Convert to fraction form
    138.22/190.69 = 91.63/x
  3. Step 3: Cross multiply
    138.22x = 190.69 × 91.63
  4. Step 4: Simplify right side
    138.22x = 17,472.92
  5. Step 5: Solve for x
    x = 17,472.92/138.22
  6. Step 6: Final answer
    x = 126.41

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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.