Finding the Fourth Proportional to 198.80, 274.42 and 157.44
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Solution
The fourth proportional to 198.80, 274.42 and 157.44 is: 217.33
Step by Step Solution
- Step 1: Write the proportion equation
198.80 : 274.42 = 157.44 : x - Step 2: Convert to fraction form
198.80/274.42 = 157.44/x - Step 3: Cross multiply
198.80x = 274.42 × 157.44 - Step 4: Simplify right side
198.80x = 43,204.68 - Step 5: Solve for x
x = 43,204.68/198.80 - Step 6: Final answer
x = 217.33
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.