Finding the Fourth Proportional to 274.09, 378.19 and 157.63
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Solution
The fourth proportional to 274.09, 378.19 and 157.63 is: 217.50
Step by Step Solution
- Step 1: Write the proportion equation
274.09 : 378.19 = 157.63 : x - Step 2: Convert to fraction form
274.09/378.19 = 157.63/x - Step 3: Cross multiply
274.09x = 378.19 × 157.63 - Step 4: Simplify right side
274.09x = 59,614.09 - Step 5: Solve for x
x = 59,614.09/274.09 - Step 6: Final answer
x = 217.50
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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.