Finding the Fourth Proportional to 206.26, 309.42 and 61.99
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Solution
The fourth proportional to 206.26, 309.42 and 61.99 is: 92.99
Step by Step Solution
- Step 1: Write the proportion equation
206.26 : 309.42 = 61.99 : x - Step 2: Convert to fraction form
206.26/309.42 = 61.99/x - Step 3: Cross multiply
206.26x = 309.42 × 61.99 - Step 4: Simplify right side
206.26x = 19,180.95 - Step 5: Solve for x
x = 19,180.95/206.26 - Step 6: Final answer
x = 92.99
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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.