Finding the Fourth Proportional to 299.52, 413.36 and 201.28
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Solution
The fourth proportional to 299.52, 413.36 and 201.28 is: 277.78
Step by Step Solution
- Step 1: Write the proportion equation
299.52 : 413.36 = 201.28 : x - Step 2: Convert to fraction form
299.52/413.36 = 201.28/x - Step 3: Cross multiply
299.52x = 413.36 × 201.28 - Step 4: Simplify right side
299.52x = 83,201.10 - Step 5: Solve for x
x = 83,201.10/299.52 - Step 6: Final answer
x = 277.78
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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.