Finding the Fourth Proportional to 205.08, 283.02 and 122.19
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Solution
The fourth proportional to 205.08, 283.02 and 122.19 is: 168.62
Step by Step Solution
- Step 1: Write the proportion equation
205.08 : 283.02 = 122.19 : x - Step 2: Convert to fraction form
205.08/283.02 = 122.19/x - Step 3: Cross multiply
205.08x = 283.02 × 122.19 - Step 4: Simplify right side
205.08x = 34,580.19 - Step 5: Solve for x
x = 34,580.19/205.08 - Step 6: Final answer
x = 168.62
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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.