Finding the Fourth Proportional to 201.42, 301.92 and 77.99
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Solution
The fourth proportional to 201.42, 301.92 and 77.99 is: 116.90
Step by Step Solution
- Step 1: Write the proportion equation
201.42 : 301.92 = 77.99 : x - Step 2: Convert to fraction form
201.42/301.92 = 77.99/x - Step 3: Cross multiply
201.42x = 301.92 × 77.99 - Step 4: Simplify right side
201.42x = 23,544.84 - Step 5: Solve for x
x = 23,544.84/201.42 - Step 6: Final answer
x = 116.90
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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.