Finding the Fourth Proportional to 213.64, 320.26 and 110.92
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Solution
The fourth proportional to 213.64, 320.26 and 110.92 is: 166.28
Step by Step Solution
- Step 1: Write the proportion equation
213.64 : 320.26 = 110.92 : x - Step 2: Convert to fraction form
213.64/320.26 = 110.92/x - Step 3: Cross multiply
213.64x = 320.26 × 110.92 - Step 4: Simplify right side
213.64x = 35,523.24 - Step 5: Solve for x
x = 35,523.24/213.64 - Step 6: Final answer
x = 166.28
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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.