Finding the Fourth Proportional to 205.57, 283.70 and 122.68
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Solution
The fourth proportional to 205.57, 283.70 and 122.68 is: 169.31
Step by Step Solution
- Step 1: Write the proportion equation
205.57 : 283.70 = 122.68 : x - Step 2: Convert to fraction form
205.57/283.70 = 122.68/x - Step 3: Cross multiply
205.57x = 283.70 × 122.68 - Step 4: Simplify right side
205.57x = 34,803.91 - Step 5: Solve for x
x = 34,803.91/205.57 - Step 6: Final answer
x = 169.31
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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.