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Finding the Fourth Proportional to 135.28, 186.61 and 82.85

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Solution

The fourth proportional to 135.28, 186.61 and 82.85 is: 114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.28 : 186.61 = 82.85 : x
  2. Step 2: Convert to fraction form
    135.28/186.61 = 82.85/x
  3. Step 3: Cross multiply
    135.28x = 186.61 × 82.85
  4. Step 4: Simplify right side
    135.28x = 15,460.94
  5. Step 5: Solve for x
    x = 15,460.94/135.28
  6. Step 6: Final answer
    x = 114.29

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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.