Finding the Fourth Proportional to 206.91, 309.81 and 163.26
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Solution
The fourth proportional to 206.91, 309.81 and 163.26 is: 244.45
Step by Step Solution
- Step 1: Write the proportion equation
206.91 : 309.81 = 163.26 : x - Step 2: Convert to fraction form
206.91/309.81 = 163.26/x - Step 3: Cross multiply
206.91x = 309.81 × 163.26 - Step 4: Simplify right side
206.91x = 50,579.58 - Step 5: Solve for x
x = 50,579.58/206.91 - Step 6: Final answer
x = 244.45
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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.