Finding the Fourth Proportional to 201.96, 302.80 and 110.70
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Solution
The fourth proportional to 201.96, 302.80 and 110.70 is: 165.97
Step by Step Solution
- Step 1: Write the proportion equation
201.96 : 302.80 = 110.70 : x - Step 2: Convert to fraction form
201.96/302.80 = 110.70/x - Step 3: Cross multiply
201.96x = 302.80 × 110.70 - Step 4: Simplify right side
201.96x = 33,519.96 - Step 5: Solve for x
x = 33,519.96/201.96 - Step 6: Final answer
x = 165.97
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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.