Finding the Fourth Proportional to 413.76, 620.08 and 157.12
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Solution
The fourth proportional to 413.76, 620.08 and 157.12 is: 235.47
Step by Step Solution
- Step 1: Write the proportion equation
413.76 : 620.08 = 157.12 : x - Step 2: Convert to fraction form
413.76/620.08 = 157.12/x - Step 3: Cross multiply
413.76x = 620.08 × 157.12 - Step 4: Simplify right side
413.76x = 97,426.97 - Step 5: Solve for x
x = 97,426.97/413.76 - Step 6: Final answer
x = 235.47
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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.