Finding the Fourth Proportional to 274.44, 378.64 and 157.96
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Solution
The fourth proportional to 274.44, 378.64 and 157.96 is: 217.93
Step by Step Solution
- Step 1: Write the proportion equation
274.44 : 378.64 = 157.96 : x - Step 2: Convert to fraction form
274.44/378.64 = 157.96/x - Step 3: Cross multiply
274.44x = 378.64 × 157.96 - Step 4: Simplify right side
274.44x = 59,809.97 - Step 5: Solve for x
x = 59,809.97/274.44 - Step 6: Final answer
x = 217.93
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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.