Finding the Fourth Proportional to 181.26, 270.29 and 180.92
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Solution
The fourth proportional to 181.26, 270.29 and 180.92 is: 269.79
Step by Step Solution
- Step 1: Write the proportion equation
181.26 : 270.29 = 180.92 : x - Step 2: Convert to fraction form
181.26/270.29 = 180.92/x - Step 3: Cross multiply
181.26x = 270.29 × 180.92 - Step 4: Simplify right side
181.26x = 48,901.99 - Step 5: Solve for x
x = 48,901.99/181.26 - Step 6: Final answer
x = 269.79
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.