Finding the Fourth Proportional to 205.66, 283.84 and 122.81
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Solution
The fourth proportional to 205.66, 283.84 and 122.81 is: 169.50
Step by Step Solution
- Step 1: Write the proportion equation
205.66 : 283.84 = 122.81 : x - Step 2: Convert to fraction form
205.66/283.84 = 122.81/x - Step 3: Cross multiply
205.66x = 283.84 × 122.81 - Step 4: Simplify right side
205.66x = 34,858.79 - Step 5: Solve for x
x = 34,858.79/205.66 - Step 6: Final answer
x = 169.50
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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.