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Finding the Fourth Proportional to 131.83, 196.64 and 129.80

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Solution

The fourth proportional to 131.83, 196.64 and 129.80 is: 193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.83 : 196.64 = 129.80 : x
  2. Step 2: Convert to fraction form
    131.83/196.64 = 129.80/x
  3. Step 3: Cross multiply
    131.83x = 196.64 × 129.80
  4. Step 4: Simplify right side
    131.83x = 25,523.87
  5. Step 5: Solve for x
    x = 25,523.87/131.83
  6. Step 6: Final answer
    x = 193.61

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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.