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Finding the Fourth Proportional to 131.29, 181.17 and 82.19

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Solution

The fourth proportional to 131.29, 181.17 and 82.19 is: 113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.29 : 181.17 = 82.19 : x
  2. Step 2: Convert to fraction form
    131.29/181.17 = 82.19/x
  3. Step 3: Cross multiply
    131.29x = 181.17 × 82.19
  4. Step 4: Simplify right side
    131.29x = 14,891.12
  5. Step 5: Solve for x
    x = 14,891.12/131.29
  6. Step 6: Final answer
    x = 113.42

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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.