Finding the Fourth Proportional to 82.08, 123.17 and 33.99
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Solution
The fourth proportional to 82.08, 123.17 and 33.99 is: 51.00
Step by Step Solution
- Step 1: Write the proportion equation
82.08 : 123.17 = 33.99 : x - Step 2: Convert to fraction form
82.08/123.17 = 33.99/x - Step 3: Cross multiply
82.08x = 123.17 × 33.99 - Step 4: Simplify right side
82.08x = 4,186.02 - Step 5: Solve for x
x = 4,186.02/82.08 - Step 6: Final answer
x = 51.00
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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.