Finding the Fourth Proportional to 207.56, 286.08 and 163.80
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Solution
The fourth proportional to 207.56, 286.08 and 163.80 is: 225.77
Step by Step Solution
- Step 1: Write the proportion equation
207.56 : 286.08 = 163.80 : x - Step 2: Convert to fraction form
207.56/286.08 = 163.80/x - Step 3: Cross multiply
207.56x = 286.08 × 163.80 - Step 4: Simplify right side
207.56x = 46,859.90 - Step 5: Solve for x
x = 46,859.90/207.56 - Step 6: Final answer
x = 225.77
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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.