Finding the Fourth Proportional to 207.77, 286.57 and 161.28
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Solution
The fourth proportional to 207.77, 286.57 and 161.28 is: 222.45
Step by Step Solution
- Step 1: Write the proportion equation
207.77 : 286.57 = 161.28 : x - Step 2: Convert to fraction form
207.77/286.57 = 161.28/x - Step 3: Cross multiply
207.77x = 286.57 × 161.28 - Step 4: Simplify right side
207.77x = 46,218.01 - Step 5: Solve for x
x = 46,218.01/207.77 - Step 6: Final answer
x = 222.45
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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.