Finding the Fourth Proportional to 548, 822 and 163.24
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Solution
The fourth proportional to 548, 822 and 163.24 is: 244.86
Step by Step Solution
- Step 1: Write the proportion equation
548 : 822 = 163.24 : x - Step 2: Convert to fraction form
548/822 = 163.24/x - Step 3: Cross multiply
548x = 822 × 163.24 - Step 4: Simplify right side
548x = 134,183.28 - Step 5: Solve for x
x = 134,183.28/548 - Step 6: Final answer
x = 244.86
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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.