Finding the Fourth Proportional to 234.70, 352.26 and 97.75
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Solution
The fourth proportional to 234.70, 352.26 and 97.75 is: 146.71
Step by Step Solution
- Step 1: Write the proportion equation
234.70 : 352.26 = 97.75 : x - Step 2: Convert to fraction form
234.70/352.26 = 97.75/x - Step 3: Cross multiply
234.70x = 352.26 × 97.75 - Step 4: Simplify right side
234.70x = 34,433.42 - Step 5: Solve for x
x = 34,433.42/234.70 - Step 6: Final answer
x = 146.71
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.