Finding the Fourth Proportional to 232.62, 321.09 and 149.73
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Solution
The fourth proportional to 232.62, 321.09 and 149.73 is: 206.67
Step by Step Solution
- Step 1: Write the proportion equation
232.62 : 321.09 = 149.73 : x - Step 2: Convert to fraction form
232.62/321.09 = 149.73/x - Step 3: Cross multiply
232.62x = 321.09 × 149.73 - Step 4: Simplify right side
232.62x = 48,077.18 - Step 5: Solve for x
x = 48,077.18/232.62 - Step 6: Final answer
x = 206.67
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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.