Finding the Fourth Proportional to 206.19, 309.26 and 84.42
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Solution
The fourth proportional to 206.19, 309.26 and 84.42 is: 126.62
Step by Step Solution
- Step 1: Write the proportion equation
206.19 : 309.26 = 84.42 : x - Step 2: Convert to fraction form
206.19/309.26 = 84.42/x - Step 3: Cross multiply
206.19x = 309.26 × 84.42 - Step 4: Simplify right side
206.19x = 26,107.94 - Step 5: Solve for x
x = 26,107.94/206.19 - Step 6: Final answer
x = 126.62
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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.