Finding the Fourth Proportional to 82.23, 123.36 and 81.99
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Solution
The fourth proportional to 82.23, 123.36 and 81.99 is: 123.00
Step by Step Solution
- Step 1: Write the proportion equation
82.23 : 123.36 = 81.99 : x - Step 2: Convert to fraction form
82.23/123.36 = 81.99/x - Step 3: Cross multiply
82.23x = 123.36 × 81.99 - Step 4: Simplify right side
82.23x = 10,114.29 - Step 5: Solve for x
x = 10,114.29/82.23 - Step 6: Final answer
x = 123.00
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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.