Finding the Fourth Proportional to 163.82, 226.08 and 120.08
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Solution
The fourth proportional to 163.82, 226.08 and 120.08 is: 165.72
Step by Step Solution
- Step 1: Write the proportion equation
163.82 : 226.08 = 120.08 : x - Step 2: Convert to fraction form
163.82/226.08 = 120.08/x - Step 3: Cross multiply
163.82x = 226.08 × 120.08 - Step 4: Simplify right side
163.82x = 27,147.69 - Step 5: Solve for x
x = 27,147.69/163.82 - Step 6: Final answer
x = 165.72
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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.