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Finding the Fourth Proportional to 132.82, 198.95 and 78.68

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Solution

The fourth proportional to 132.82, 198.95 and 78.68 is: 117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.82 : 198.95 = 78.68 : x
  2. Step 2: Convert to fraction form
    132.82/198.95 = 78.68/x
  3. Step 3: Cross multiply
    132.82x = 198.95 × 78.68
  4. Step 4: Simplify right side
    132.82x = 15,653.39
  5. Step 5: Solve for x
    x = 15,653.39/132.82
  6. Step 6: Final answer
    x = 117.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.