Finding the Fourth Proportional to 206.44, 309.44 and 115.18
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Solution
The fourth proportional to 206.44, 309.44 and 115.18 is: 172.65
Step by Step Solution
- Step 1: Write the proportion equation
206.44 : 309.44 = 115.18 : x - Step 2: Convert to fraction form
206.44/309.44 = 115.18/x - Step 3: Cross multiply
206.44x = 309.44 × 115.18 - Step 4: Simplify right side
206.44x = 35,640.81 - Step 5: Solve for x
x = 35,640.81/206.44 - Step 6: Final answer
x = 172.65
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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.