Finding the Fourth Proportional to 197.14, 295.26 and 115.84
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Solution
The fourth proportional to 197.14, 295.26 and 115.84 is: 173.50
Step by Step Solution
- Step 1: Write the proportion equation
197.14 : 295.26 = 115.84 : x - Step 2: Convert to fraction form
197.14/295.26 = 115.84/x - Step 3: Cross multiply
197.14x = 295.26 × 115.84 - Step 4: Simplify right side
197.14x = 34,202.92 - Step 5: Solve for x
x = 34,202.92/197.14 - Step 6: Final answer
x = 173.50
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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.