Finding the Fourth Proportional to 163.82, 226.02 and 98.31
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Solution
The fourth proportional to 163.82, 226.02 and 98.31 is: 135.64
Step by Step Solution
- Step 1: Write the proportion equation
163.82 : 226.02 = 98.31 : x - Step 2: Convert to fraction form
163.82/226.02 = 98.31/x - Step 3: Cross multiply
163.82x = 226.02 × 98.31 - Step 4: Simplify right side
163.82x = 22,221.24 - Step 5: Solve for x
x = 22,221.24/163.82 - Step 6: Final answer
x = 135.64
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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.