Finding the Fourth Proportional to 413.26, 570.26 and 226.75
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Solution
The fourth proportional to 413.26, 570.26 and 226.75 is: 312.89
Step by Step Solution
- Step 1: Write the proportion equation
413.26 : 570.26 = 226.75 : x - Step 2: Convert to fraction form
413.26/570.26 = 226.75/x - Step 3: Cross multiply
413.26x = 570.26 × 226.75 - Step 4: Simplify right side
413.26x = 129,304.42 - Step 5: Solve for x
x = 129,304.42/413.26 - Step 6: Final answer
x = 312.89
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.