Finding the Fourth Proportional to 207.70, 311.55 and 161.80
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Solution
The fourth proportional to 207.70, 311.55 and 161.80 is: 242.70
Step by Step Solution
- Step 1: Write the proportion equation
207.70 : 311.55 = 161.80 : x - Step 2: Convert to fraction form
207.70/311.55 = 161.80/x - Step 3: Cross multiply
207.70x = 311.55 × 161.80 - Step 4: Simplify right side
207.70x = 50,408.79 - Step 5: Solve for x
x = 50,408.79/207.70 - Step 6: Final answer
x = 242.70
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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.