Finding the Fourth Proportional to 205.14, 283.08 and 122.26
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Solution
The fourth proportional to 205.14, 283.08 and 122.26 is: 168.71
Step by Step Solution
- Step 1: Write the proportion equation
205.14 : 283.08 = 122.26 : x - Step 2: Convert to fraction form
205.14/283.08 = 122.26/x - Step 3: Cross multiply
205.14x = 283.08 × 122.26 - Step 4: Simplify right side
205.14x = 34,608.65 - Step 5: Solve for x
x = 34,608.65/205.14 - Step 6: Final answer
x = 168.71
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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.