Finding the Fourth Proportional to 214.92, 296.64 and 163.08
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Solution
The fourth proportional to 214.92, 296.64 and 163.08 is: 225.09
Step by Step Solution
- Step 1: Write the proportion equation
214.92 : 296.64 = 163.08 : x - Step 2: Convert to fraction form
214.92/296.64 = 163.08/x - Step 3: Cross multiply
214.92x = 296.64 × 163.08 - Step 4: Simplify right side
214.92x = 48,376.05 - Step 5: Solve for x
x = 48,376.05/214.92 - Step 6: Final answer
x = 225.09
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.