Finding the Fourth Proportional to 205.77, 283.97 and 122.87
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Solution
The fourth proportional to 205.77, 283.97 and 122.87 is: 169.56
Step by Step Solution
- Step 1: Write the proportion equation
205.77 : 283.97 = 122.87 : x - Step 2: Convert to fraction form
205.77/283.97 = 122.87/x - Step 3: Cross multiply
205.77x = 283.97 × 122.87 - Step 4: Simplify right side
205.77x = 34,889.36 - Step 5: Solve for x
x = 34,889.36/205.77 - Step 6: Final answer
x = 169.56
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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.