Finding the Fourth Proportional to 275.26, 413.07 and 130.99
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Solution
The fourth proportional to 275.26, 413.07 and 130.99 is: 196.57
Step by Step Solution
- Step 1: Write the proportion equation
275.26 : 413.07 = 130.99 : x - Step 2: Convert to fraction form
275.26/413.07 = 130.99/x - Step 3: Cross multiply
275.26x = 413.07 × 130.99 - Step 4: Simplify right side
275.26x = 54,108.04 - Step 5: Solve for x
x = 54,108.04/275.26 - Step 6: Final answer
x = 196.57
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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.