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Finding the Fourth Proportional to 138.09, 190.41 and 96.63

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Solution

The fourth proportional to 138.09, 190.41 and 96.63 is: 133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.09 : 190.41 = 96.63 : x
  2. Step 2: Convert to fraction form
    138.09/190.41 = 96.63/x
  3. Step 3: Cross multiply
    138.09x = 190.41 × 96.63
  4. Step 4: Simplify right side
    138.09x = 18,399.32
  5. Step 5: Solve for x
    x = 18,399.32/138.09
  6. Step 6: Final answer
    x = 133.24

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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.