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Finding the Fourth Proportional to 131.26, 180.97 and 96.26

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Solution

The fourth proportional to 131.26, 180.97 and 96.26 is: 132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.26 : 180.97 = 96.26 : x
  2. Step 2: Convert to fraction form
    131.26/180.97 = 96.26/x
  3. Step 3: Cross multiply
    131.26x = 180.97 × 96.26
  4. Step 4: Simplify right side
    131.26x = 17,418.79
  5. Step 5: Solve for x
    x = 17,418.79/131.26
  6. Step 6: Final answer
    x = 132.71

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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.