Finding the Fourth Proportional to 197.67, 295.77 and 120.70
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Solution
The fourth proportional to 197.67, 295.77 and 120.70 is: 180.60
Step by Step Solution
- Step 1: Write the proportion equation
197.67 : 295.77 = 120.70 : x - Step 2: Convert to fraction form
197.67/295.77 = 120.70/x - Step 3: Cross multiply
197.67x = 295.77 × 120.70 - Step 4: Simplify right side
197.67x = 35,697.96 - Step 5: Solve for x
x = 35,697.96/197.67 - Step 6: Final answer
x = 180.60
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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.