Finding the Fourth Proportional to 206.26, 284.62 and 114.26
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Solution
The fourth proportional to 206.26, 284.62 and 114.26 is: 157.67
Step by Step Solution
- Step 1: Write the proportion equation
206.26 : 284.62 = 114.26 : x - Step 2: Convert to fraction form
206.26/284.62 = 114.26/x - Step 3: Cross multiply
206.26x = 284.62 × 114.26 - Step 4: Simplify right side
206.26x = 32,520.68 - Step 5: Solve for x
x = 32,520.68/206.26 - Step 6: Final answer
x = 157.67
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.