Finding the Fourth Proportional to 206.55, 309.99 and 115.23
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Solution
The fourth proportional to 206.55, 309.99 and 115.23 is: 172.94
Step by Step Solution
- Step 1: Write the proportion equation
206.55 : 309.99 = 115.23 : x - Step 2: Convert to fraction form
206.55/309.99 = 115.23/x - Step 3: Cross multiply
206.55x = 309.99 × 115.23 - Step 4: Simplify right side
206.55x = 35,720.15 - Step 5: Solve for x
x = 35,720.15/206.55 - Step 6: Final answer
x = 172.94
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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.