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Finding the Fourth Proportional to 134.82, 186.07 and 82.37

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Solution

The fourth proportional to 134.82, 186.07 and 82.37 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.82 : 186.07 = 82.37 : x
  2. Step 2: Convert to fraction form
    134.82/186.07 = 82.37/x
  3. Step 3: Cross multiply
    134.82x = 186.07 × 82.37
  4. Step 4: Simplify right side
    134.82x = 15,326.59
  5. Step 5: Solve for x
    x = 15,326.59/134.82
  6. Step 6: Final answer
    x = 113.68

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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.