Finding the Fourth Proportional to 409.86, 614.93 and 163.08
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Solution
The fourth proportional to 409.86, 614.93 and 163.08 is: 244.67
Step by Step Solution
- Step 1: Write the proportion equation
409.86 : 614.93 = 163.08 : x - Step 2: Convert to fraction form
409.86/614.93 = 163.08/x - Step 3: Cross multiply
409.86x = 614.93 × 163.08 - Step 4: Simplify right side
409.86x = 100,281.97 - Step 5: Solve for x
x = 100,281.97/409.86 - Step 6: Final answer
x = 244.67
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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.