Finding the Fourth Proportional to 82.32, 123.45 and 30.99
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Solution
The fourth proportional to 82.32, 123.45 and 30.99 is: 46.47
Step by Step Solution
- Step 1: Write the proportion equation
82.32 : 123.45 = 30.99 : x - Step 2: Convert to fraction form
82.32/123.45 = 30.99/x - Step 3: Cross multiply
82.32x = 123.45 × 30.99 - Step 4: Simplify right side
82.32x = 3,825.10 - Step 5: Solve for x
x = 3,825.10/82.32 - Step 6: Final answer
x = 46.47
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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.