Finding the Fourth Proportional to 82.82, 124.21 and 34.07
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Solution
The fourth proportional to 82.82, 124.21 and 34.07 is: 51.09
Step by Step Solution
- Step 1: Write the proportion equation
82.82 : 124.21 = 34.07 : x - Step 2: Convert to fraction form
82.82/124.21 = 34.07/x - Step 3: Cross multiply
82.82x = 124.21 × 34.07 - Step 4: Simplify right side
82.82x = 4,231.13 - Step 5: Solve for x
x = 4,231.13/82.82 - Step 6: Final answer
x = 51.09
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.