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Finding the Fourth Proportional to 138.42, 190.99 and 80.19

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Solution

The fourth proportional to 138.42, 190.99 and 80.19 is: 110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.42 : 190.99 = 80.19 : x
  2. Step 2: Convert to fraction form
    138.42/190.99 = 80.19/x
  3. Step 3: Cross multiply
    138.42x = 190.99 × 80.19
  4. Step 4: Simplify right side
    138.42x = 15,315.49
  5. Step 5: Solve for x
    x = 15,315.49/138.42
  6. Step 6: Final answer
    x = 110.65

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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.