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Finding the Fourth Proportional to 131.14, 195.96 and 94.40

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Solution

The fourth proportional to 131.14, 195.96 and 94.40 is: 141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 195.96 = 94.40 : x
  2. Step 2: Convert to fraction form
    131.14/195.96 = 94.40/x
  3. Step 3: Cross multiply
    131.14x = 195.96 × 94.40
  4. Step 4: Simplify right side
    131.14x = 18,498.62
  5. Step 5: Solve for x
    x = 18,498.62/131.14
  6. Step 6: Final answer
    x = 141.06

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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.