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Finding the Fourth Proportional to 138.04, 190.46 and 82.78

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Solution

The fourth proportional to 138.04, 190.46 and 82.78 is: 114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.04 : 190.46 = 82.78 : x
  2. Step 2: Convert to fraction form
    138.04/190.46 = 82.78/x
  3. Step 3: Cross multiply
    138.04x = 190.46 × 82.78
  4. Step 4: Simplify right side
    138.04x = 15,766.28
  5. Step 5: Solve for x
    x = 15,766.28/138.04
  6. Step 6: Final answer
    x = 114.22

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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.