Finding the Fourth Proportional to 382.75, 574.08 and 163.44
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Solution
The fourth proportional to 382.75, 574.08 and 163.44 is: 245.14
Step by Step Solution
- Step 1: Write the proportion equation
382.75 : 574.08 = 163.44 : x - Step 2: Convert to fraction form
382.75/574.08 = 163.44/x - Step 3: Cross multiply
382.75x = 574.08 × 163.44 - Step 4: Simplify right side
382.75x = 93,827.64 - Step 5: Solve for x
x = 93,827.64/382.75 - Step 6: Final answer
x = 245.14
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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.