Finding the Fourth Proportional to 207.68, 311.61 and 142.70
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Solution
The fourth proportional to 207.68, 311.61 and 142.70 is: 214.11
Step by Step Solution
- Step 1: Write the proportion equation
207.68 : 311.61 = 142.70 : x - Step 2: Convert to fraction form
207.68/311.61 = 142.70/x - Step 3: Cross multiply
207.68x = 311.61 × 142.70 - Step 4: Simplify right side
207.68x = 44,465.19 - Step 5: Solve for x
x = 44,465.19/207.68 - Step 6: Final answer
x = 214.11
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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.