Finding the Fourth Proportional to 207.42, 311.19 and 161.66
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Solution
The fourth proportional to 207.42, 311.19 and 161.66 is: 242.53
Step by Step Solution
- Step 1: Write the proportion equation
207.42 : 311.19 = 161.66 : x - Step 2: Convert to fraction form
207.42/311.19 = 161.66/x - Step 3: Cross multiply
207.42x = 311.19 × 161.66 - Step 4: Simplify right side
207.42x = 50,305.42 - Step 5: Solve for x
x = 50,305.42/207.42 - Step 6: Final answer
x = 242.53
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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.