Finding the Fourth Proportional to 299.50, 413.09 and 201.08
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Solution
The fourth proportional to 299.50, 413.09 and 201.08 is: 277.34
Step by Step Solution
- Step 1: Write the proportion equation
299.50 : 413.09 = 201.08 : x - Step 2: Convert to fraction form
299.50/413.09 = 201.08/x - Step 3: Cross multiply
299.50x = 413.09 × 201.08 - Step 4: Simplify right side
299.50x = 83,064.14 - Step 5: Solve for x
x = 83,064.14/299.50 - Step 6: Final answer
x = 277.34
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.