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Finding the Fourth Proportional to 131.60, 180.96 and 120.80

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Solution

The fourth proportional to 131.60, 180.96 and 120.80 is: 166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.60 : 180.96 = 120.80 : x
  2. Step 2: Convert to fraction form
    131.60/180.96 = 120.80/x
  3. Step 3: Cross multiply
    131.60x = 180.96 × 120.80
  4. Step 4: Simplify right side
    131.60x = 21,859.97
  5. Step 5: Solve for x
    x = 21,859.97/131.60
  6. Step 6: Final answer
    x = 166.11

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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.