Finding the Fourth Proportional to 300.09, 413.86 and 217.07
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Solution
The fourth proportional to 300.09, 413.86 and 217.07 is: 299.37
Step by Step Solution
- Step 1: Write the proportion equation
300.09 : 413.86 = 217.07 : x - Step 2: Convert to fraction form
300.09/413.86 = 217.07/x - Step 3: Cross multiply
300.09x = 413.86 × 217.07 - Step 4: Simplify right side
300.09x = 89,836.59 - Step 5: Solve for x
x = 89,836.59/300.09 - Step 6: Final answer
x = 299.37
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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.