Finding the Fourth Proportional to 206.73, 284.97 and 162.99
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Solution
The fourth proportional to 206.73, 284.97 and 162.99 is: 224.68
Step by Step Solution
- Step 1: Write the proportion equation
206.73 : 284.97 = 162.99 : x - Step 2: Convert to fraction form
206.73/284.97 = 162.99/x - Step 3: Cross multiply
206.73x = 284.97 × 162.99 - Step 4: Simplify right side
206.73x = 46,447.26 - Step 5: Solve for x
x = 46,447.26/206.73 - Step 6: Final answer
x = 224.68
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.