Finding the Fourth Proportional to 197.44, 296.26 and 75.94
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Solution
The fourth proportional to 197.44, 296.26 and 75.94 is: 113.95
Step by Step Solution
- Step 1: Write the proportion equation
197.44 : 296.26 = 75.94 : x - Step 2: Convert to fraction form
197.44/296.26 = 75.94/x - Step 3: Cross multiply
197.44x = 296.26 × 75.94 - Step 4: Simplify right side
197.44x = 22,497.05 - Step 5: Solve for x
x = 22,497.05/197.44 - Step 6: Final answer
x = 113.95
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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.