Finding the Fourth Proportional to 274.36, 378.62 and 163.84
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Solution
The fourth proportional to 274.36, 378.62 and 163.84 is: 226.10
Step by Step Solution
- Step 1: Write the proportion equation
274.36 : 378.62 = 163.84 : x - Step 2: Convert to fraction form
274.36/378.62 = 163.84/x - Step 3: Cross multiply
274.36x = 378.62 × 163.84 - Step 4: Simplify right side
274.36x = 62,033.10 - Step 5: Solve for x
x = 62,033.10/274.36 - Step 6: Final answer
x = 226.10
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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.