Finding the Fourth Proportional to 205.08, 283.08 and 163.92
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Solution
The fourth proportional to 205.08, 283.08 and 163.92 is: 226.27
Step by Step Solution
- Step 1: Write the proportion equation
205.08 : 283.08 = 163.92 : x - Step 2: Convert to fraction form
205.08/283.08 = 163.92/x - Step 3: Cross multiply
205.08x = 283.08 × 163.92 - Step 4: Simplify right side
205.08x = 46,402.47 - Step 5: Solve for x
x = 46,402.47/205.08 - Step 6: Final answer
x = 226.27
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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.