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Finding the Fourth Proportional to 138.55, 190.18 and 126.19

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Solution

The fourth proportional to 138.55, 190.18 and 126.19 is: 173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.55 : 190.18 = 126.19 : x
  2. Step 2: Convert to fraction form
    138.55/190.18 = 126.19/x
  3. Step 3: Cross multiply
    138.55x = 190.18 × 126.19
  4. Step 4: Simplify right side
    138.55x = 23,998.81
  5. Step 5: Solve for x
    x = 23,998.81/138.55
  6. Step 6: Final answer
    x = 173.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.