Finding the Fourth Proportional to 413.79, 570.99 and 227.28
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Solution
The fourth proportional to 413.79, 570.99 and 227.28 is: 313.62
Step by Step Solution
- Step 1: Write the proportion equation
413.79 : 570.99 = 227.28 : x - Step 2: Convert to fraction form
413.79/570.99 = 227.28/x - Step 3: Cross multiply
413.79x = 570.99 × 227.28 - Step 4: Simplify right side
413.79x = 129,774.61 - Step 5: Solve for x
x = 129,774.61/413.79 - Step 6: Final answer
x = 313.62
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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.