Finding the Fourth Proportional to 274.29, 378.35 and 163.70
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Solution
The fourth proportional to 274.29, 378.35 and 163.70 is: 225.79
Step by Step Solution
- Step 1: Write the proportion equation
274.29 : 378.35 = 163.70 : x - Step 2: Convert to fraction form
274.29/378.35 = 163.70/x - Step 3: Cross multiply
274.29x = 378.35 × 163.70 - Step 4: Simplify right side
274.29x = 61,933.18 - Step 5: Solve for x
x = 61,933.18/274.29 - Step 6: Final answer
x = 225.79
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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.