Finding the Fourth Proportional to 82.43, 113.81 and 65.99
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Solution
The fourth proportional to 82.43, 113.81 and 65.99 is: 91.11
Step by Step Solution
- Step 1: Write the proportion equation
82.43 : 113.81 = 65.99 : x - Step 2: Convert to fraction form
82.43/113.81 = 65.99/x - Step 3: Cross multiply
82.43x = 113.81 × 65.99 - Step 4: Simplify right side
82.43x = 7,510.32 - Step 5: Solve for x
x = 7,510.32/82.43 - Step 6: Final answer
x = 91.11
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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.