Finding the Fourth Proportional to 206.25, 309.10 and 114.99
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Solution
The fourth proportional to 206.25, 309.10 and 114.99 is: 172.33
Step by Step Solution
- Step 1: Write the proportion equation
206.25 : 309.10 = 114.99 : x - Step 2: Convert to fraction form
206.25/309.10 = 114.99/x - Step 3: Cross multiply
206.25x = 309.10 × 114.99 - Step 4: Simplify right side
206.25x = 35,543.41 - Step 5: Solve for x
x = 35,543.41/206.25 - Step 6: Final answer
x = 172.33
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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.