Finding the Fourth Proportional to 204.26, 305.91 and 122.92
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Solution
The fourth proportional to 204.26, 305.91 and 122.92 is: 184.09
Step by Step Solution
- Step 1: Write the proportion equation
204.26 : 305.91 = 122.92 : x - Step 2: Convert to fraction form
204.26/305.91 = 122.92/x - Step 3: Cross multiply
204.26x = 305.91 × 122.92 - Step 4: Simplify right side
204.26x = 37,601.69 - Step 5: Solve for x
x = 37,601.69/204.26 - Step 6: Final answer
x = 184.09
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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.