Finding the Fourth Proportional to 201.97, 302.96 and 161.65
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Solution
The fourth proportional to 201.97, 302.96 and 161.65 is: 242.47
Step by Step Solution
- Step 1: Write the proportion equation
201.97 : 302.96 = 161.65 : x - Step 2: Convert to fraction form
201.97/302.96 = 161.65/x - Step 3: Cross multiply
201.97x = 302.96 × 161.65 - Step 4: Simplify right side
201.97x = 48,971.57 - Step 5: Solve for x
x = 48,971.57/201.97 - Step 6: Final answer
x = 242.47
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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.