Finding the Fourth Proportional to 197.87, 296.06 and 163.64
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Solution
The fourth proportional to 197.87, 296.06 and 163.64 is: 244.85
Step by Step Solution
- Step 1: Write the proportion equation
197.87 : 296.06 = 163.64 : x - Step 2: Convert to fraction form
197.87/296.06 = 163.64/x - Step 3: Cross multiply
197.87x = 296.06 × 163.64 - Step 4: Simplify right side
197.87x = 48,447.18 - Step 5: Solve for x
x = 48,447.18/197.87 - Step 6: Final answer
x = 244.85
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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.