Finding the Fourth Proportional to 163.14, 244.70 and 76.49
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Solution
The fourth proportional to 163.14, 244.70 and 76.49 is: 114.73
Step by Step Solution
- Step 1: Write the proportion equation
163.14 : 244.70 = 76.49 : x - Step 2: Convert to fraction form
163.14/244.70 = 76.49/x - Step 3: Cross multiply
163.14x = 244.70 × 76.49 - Step 4: Simplify right side
163.14x = 18,717.06 - Step 5: Solve for x
x = 18,717.06/163.14 - Step 6: Final answer
x = 114.73
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.