Finding the Fourth Proportional to 274.07, 378.28 and 163.63
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Solution
The fourth proportional to 274.07, 378.28 and 163.63 is: 225.85
Step by Step Solution
- Step 1: Write the proportion equation
274.07 : 378.28 = 163.63 : x - Step 2: Convert to fraction form
274.07/378.28 = 163.63/x - Step 3: Cross multiply
274.07x = 378.28 × 163.63 - Step 4: Simplify right side
274.07x = 61,898.63 - Step 5: Solve for x
x = 61,898.63/274.07 - Step 6: Final answer
x = 225.85
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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.