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Finding the Fourth Proportional to 138.34, 190.94 and 80.13

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Solution

The fourth proportional to 138.34, 190.94 and 80.13 is: 110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.34 : 190.94 = 80.13 : x
  2. Step 2: Convert to fraction form
    138.34/190.94 = 80.13/x
  3. Step 3: Cross multiply
    138.34x = 190.94 × 80.13
  4. Step 4: Simplify right side
    138.34x = 15,300.02
  5. Step 5: Solve for x
    x = 15,300.02/138.34
  6. Step 6: Final answer
    x = 110.60

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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.