Finding the Fourth Proportional to 197.21, 295.91 and 81.70
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Solution
The fourth proportional to 197.21, 295.91 and 81.70 is: 122.59
Step by Step Solution
- Step 1: Write the proportion equation
197.21 : 295.91 = 81.70 : x - Step 2: Convert to fraction form
197.21/295.91 = 81.70/x - Step 3: Cross multiply
197.21x = 295.91 × 81.70 - Step 4: Simplify right side
197.21x = 24,175.85 - Step 5: Solve for x
x = 24,175.85/197.21 - Step 6: Final answer
x = 122.59
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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.