Finding the Fourth Proportional to 163.74, 226.08 and 117.24
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Solution
The fourth proportional to 163.74, 226.08 and 117.24 is: 161.88
Step by Step Solution
- Step 1: Write the proportion equation
163.74 : 226.08 = 117.24 : x - Step 2: Convert to fraction form
163.74/226.08 = 117.24/x - Step 3: Cross multiply
163.74x = 226.08 × 117.24 - Step 4: Simplify right side
163.74x = 26,505.62 - Step 5: Solve for x
x = 26,505.62/163.74 - Step 6: Final answer
x = 161.88
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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.