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Finding the Fourth Proportional to 131.24, 195.81 and 119.09

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Solution

The fourth proportional to 131.24, 195.81 and 119.09 is: 177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.24 : 195.81 = 119.09 : x
  2. Step 2: Convert to fraction form
    131.24/195.81 = 119.09/x
  3. Step 3: Cross multiply
    131.24x = 195.81 × 119.09
  4. Step 4: Simplify right side
    131.24x = 23,318.03
  5. Step 5: Solve for x
    x = 23,318.03/131.24
  6. Step 6: Final answer
    x = 177.68

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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.