Finding the Fourth Proportional to 413.18, 570.19 and 226.68
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Solution
The fourth proportional to 413.18, 570.19 and 226.68 is: 312.82
Step by Step Solution
- Step 1: Write the proportion equation
413.18 : 570.19 = 226.68 : x - Step 2: Convert to fraction form
413.18/570.19 = 226.68/x - Step 3: Cross multiply
413.18x = 570.19 × 226.68 - Step 4: Simplify right side
413.18x = 129,252.24 - Step 5: Solve for x
x = 129,252.24/413.18 - Step 6: Final answer
x = 312.82
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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.