Finding the Fourth Proportional to 201.64, 302.26 and 91.84
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Solution
The fourth proportional to 201.64, 302.26 and 91.84 is: 137.67
Step by Step Solution
- Step 1: Write the proportion equation
201.64 : 302.26 = 91.84 : x - Step 2: Convert to fraction form
201.64/302.26 = 91.84/x - Step 3: Cross multiply
201.64x = 302.26 × 91.84 - Step 4: Simplify right side
201.64x = 27,759.56 - Step 5: Solve for x
x = 27,759.56/201.64 - Step 6: Final answer
x = 137.67
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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.