Finding the Fourth Proportional to 201.96, 303.02 and 97.88
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Solution
The fourth proportional to 201.96, 303.02 and 97.88 is: 146.86
Step by Step Solution
- Step 1: Write the proportion equation
201.96 : 303.02 = 97.88 : x - Step 2: Convert to fraction form
201.96/303.02 = 97.88/x - Step 3: Cross multiply
201.96x = 303.02 × 97.88 - Step 4: Simplify right side
201.96x = 29,659.60 - Step 5: Solve for x
x = 29,659.60/201.96 - Step 6: Final answer
x = 146.86
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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.