Finding the Fourth Proportional to 205.52, 283.44 and 163.76
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Solution
The fourth proportional to 205.52, 283.44 and 163.76 is: 225.85
Step by Step Solution
- Step 1: Write the proportion equation
205.52 : 283.44 = 163.76 : x - Step 2: Convert to fraction form
205.52/283.44 = 163.76/x - Step 3: Cross multiply
205.52x = 283.44 × 163.76 - Step 4: Simplify right side
205.52x = 46,416.13 - Step 5: Solve for x
x = 46,416.13/205.52 - 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.