Finding the Fourth Proportional to 213.18, 319.05 and 197.70
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Solution
The fourth proportional to 213.18, 319.05 and 197.70 is: 295.88
Step by Step Solution
- Step 1: Write the proportion equation
213.18 : 319.05 = 197.70 : x - Step 2: Convert to fraction form
213.18/319.05 = 197.70/x - Step 3: Cross multiply
213.18x = 319.05 × 197.70 - Step 4: Simplify right side
213.18x = 63,076.19 - Step 5: Solve for x
x = 63,076.19/213.18 - Step 6: Final answer
x = 295.88
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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.