Finding the Fourth Proportional to 413.80, 620.14 and 197.08
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Solution
The fourth proportional to 413.80, 620.14 and 197.08 is: 295.35
Step by Step Solution
- Step 1: Write the proportion equation
413.80 : 620.14 = 197.08 : x - Step 2: Convert to fraction form
413.80/620.14 = 197.08/x - Step 3: Cross multiply
413.80x = 620.14 × 197.08 - Step 4: Simplify right side
413.80x = 122,217.19 - Step 5: Solve for x
x = 122,217.19/413.80 - Step 6: Final answer
x = 295.35
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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.