Finding the Fourth Proportional to 163.81, 226.21 and 105.69
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Solution
The fourth proportional to 163.81, 226.21 and 105.69 is: 145.95
Step by Step Solution
- Step 1: Write the proportion equation
163.81 : 226.21 = 105.69 : x - Step 2: Convert to fraction form
163.81/226.21 = 105.69/x - Step 3: Cross multiply
163.81x = 226.21 × 105.69 - Step 4: Simplify right side
163.81x = 23,908.13 - Step 5: Solve for x
x = 23,908.13/163.81 - Step 6: Final answer
x = 145.95
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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.