Finding the Fourth Proportional to 82.06, 123.02 and 30.68
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Solution
The fourth proportional to 82.06, 123.02 and 30.68 is: 45.99
Step by Step Solution
- Step 1: Write the proportion equation
82.06 : 123.02 = 30.68 : x - Step 2: Convert to fraction form
82.06/123.02 = 30.68/x - Step 3: Cross multiply
82.06x = 123.02 × 30.68 - Step 4: Simplify right side
82.06x = 3,774.06 - Step 5: Solve for x
x = 3,774.06/82.06 - Step 6: Final answer
x = 45.99
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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.