Finding the Fourth Proportional to 206, 308.76 and 84.13
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Solution
The fourth proportional to 206, 308.76 and 84.13 is: 126.09
Step by Step Solution
- Step 1: Write the proportion equation
206 : 308.76 = 84.13 : x - Step 2: Convert to fraction form
206/308.76 = 84.13/x - Step 3: Cross multiply
206x = 308.76 × 84.13 - Step 4: Simplify right side
206x = 25,974.44 - Step 5: Solve for x
x = 25,974.44/206 - Step 6: Final answer
x = 126.09
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.