Finding the Fourth Proportional to 274.16, 378.36 and 163.62
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Solution
The fourth proportional to 274.16, 378.36 and 163.62 is: 225.81
Step by Step Solution
- Step 1: Write the proportion equation
274.16 : 378.36 = 163.62 : x - Step 2: Convert to fraction form
274.16/378.36 = 163.62/x - Step 3: Cross multiply
274.16x = 378.36 × 163.62 - Step 4: Simplify right side
274.16x = 61,907.26 - Step 5: Solve for x
x = 61,907.26/274.16 - Step 6: Final answer
x = 225.81
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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.