Finding the Fourth Proportional to 413.64, 620.76 and 157.14
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Solution
The fourth proportional to 413.64, 620.76 and 157.14 is: 235.82
Step by Step Solution
- Step 1: Write the proportion equation
413.64 : 620.76 = 157.14 : x - Step 2: Convert to fraction form
413.64/620.76 = 157.14/x - Step 3: Cross multiply
413.64x = 620.76 × 157.14 - Step 4: Simplify right side
413.64x = 97,546.23 - Step 5: Solve for x
x = 97,546.23/413.64 - Step 6: Final answer
x = 235.82
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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.