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Finding the Fourth Proportional to 138.18, 190.69 and 82.95

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Solution

The fourth proportional to 138.18, 190.69 and 82.95 is: 114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.18 : 190.69 = 82.95 : x
  2. Step 2: Convert to fraction form
    138.18/190.69 = 82.95/x
  3. Step 3: Cross multiply
    138.18x = 190.69 × 82.95
  4. Step 4: Simplify right side
    138.18x = 15,817.12
  5. Step 5: Solve for x
    x = 15,817.12/138.18
  6. Step 6: Final answer
    x = 114.47

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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.