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Finding the Fourth Proportional to 131.82, 180.83 and 129.12

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Solution

The fourth proportional to 131.82, 180.83 and 129.12 is: 177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.82 : 180.83 = 129.12 : x
  2. Step 2: Convert to fraction form
    131.82/180.83 = 129.12/x
  3. Step 3: Cross multiply
    131.82x = 180.83 × 129.12
  4. Step 4: Simplify right side
    131.82x = 23,348.77
  5. Step 5: Solve for x
    x = 23,348.77/131.82
  6. Step 6: Final answer
    x = 177.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.