Finding the Fourth Proportional to 205.67, 283.79 and 122.76
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Solution
The fourth proportional to 205.67, 283.79 and 122.76 is: 169.39
Step by Step Solution
- Step 1: Write the proportion equation
205.67 : 283.79 = 122.76 : x - Step 2: Convert to fraction form
205.67/283.79 = 122.76/x - Step 3: Cross multiply
205.67x = 283.79 × 122.76 - Step 4: Simplify right side
205.67x = 34,838.97 - Step 5: Solve for x
x = 34,838.97/205.67 - Step 6: Final answer
x = 169.39
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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.