Finding the Fourth Proportional to 205.55, 283.66 and 122.70
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Solution
The fourth proportional to 205.55, 283.66 and 122.70 is: 169.33
Step by Step Solution
- Step 1: Write the proportion equation
205.55 : 283.66 = 122.70 : x - Step 2: Convert to fraction form
205.55/283.66 = 122.70/x - Step 3: Cross multiply
205.55x = 283.66 × 122.70 - Step 4: Simplify right side
205.55x = 34,805.13 - Step 5: Solve for x
x = 34,805.13/205.55 - Step 6: Final answer
x = 169.33
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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.