Finding the Fourth Proportional to 82.25, 113.26 and 81.99
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Solution
The fourth proportional to 82.25, 113.26 and 81.99 is: 112.91
Step by Step Solution
- Step 1: Write the proportion equation
82.25 : 113.26 = 81.99 : x - Step 2: Convert to fraction form
82.25/113.26 = 81.99/x - Step 3: Cross multiply
82.25x = 113.26 × 81.99 - Step 4: Simplify right side
82.25x = 9,286.19 - Step 5: Solve for x
x = 9,286.19/82.25 - Step 6: Final answer
x = 112.91
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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.