Finding the Fourth Proportional to 409.26, 613.84 and 201.09
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Solution
The fourth proportional to 409.26, 613.84 and 201.09 is: 301.61
Step by Step Solution
- Step 1: Write the proportion equation
409.26 : 613.84 = 201.09 : x - Step 2: Convert to fraction form
409.26/613.84 = 201.09/x - Step 3: Cross multiply
409.26x = 613.84 × 201.09 - Step 4: Simplify right side
409.26x = 123,437.09 - Step 5: Solve for x
x = 123,437.09/409.26 - Step 6: Final answer
x = 301.61
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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.