Finding the Fourth Proportional to 163.10, 224.91 and 113.96
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Solution
The fourth proportional to 163.10, 224.91 and 113.96 is: 157.15
Step by Step Solution
- Step 1: Write the proportion equation
163.10 : 224.91 = 113.96 : x - Step 2: Convert to fraction form
163.10/224.91 = 113.96/x - Step 3: Cross multiply
163.10x = 224.91 × 113.96 - Step 4: Simplify right side
163.10x = 25,630.74 - Step 5: Solve for x
x = 25,630.74/163.10 - Step 6: Final answer
x = 157.15
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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.