Finding the Fourth Proportional to 82.18, 122.62 and 76.99
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Solution
The fourth proportional to 82.18, 122.62 and 76.99 is: 114.88
Step by Step Solution
- Step 1: Write the proportion equation
82.18 : 122.62 = 76.99 : x - Step 2: Convert to fraction form
82.18/122.62 = 76.99/x - Step 3: Cross multiply
82.18x = 122.62 × 76.99 - Step 4: Simplify right side
82.18x = 9,440.51 - Step 5: Solve for x
x = 9,440.51/82.18 - Step 6: Final answer
x = 114.88
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.