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Finding the Fourth Proportional to 132.82, 197.99 and 131.38

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Solution

The fourth proportional to 132.82, 197.99 and 131.38 is: 195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.82 : 197.99 = 131.38 : x
  2. Step 2: Convert to fraction form
    132.82/197.99 = 131.38/x
  3. Step 3: Cross multiply
    132.82x = 197.99 × 131.38
  4. Step 4: Simplify right side
    132.82x = 26,011.93
  5. Step 5: Solve for x
    x = 26,011.93/132.82
  6. Step 6: Final answer
    x = 195.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.