Finding the Fourth Proportional to 205.64, 283.69 and 122.70
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Solution
The fourth proportional to 205.64, 283.69 and 122.70 is: 169.27
Step by Step Solution
- Step 1: Write the proportion equation
205.64 : 283.69 = 122.70 : x - Step 2: Convert to fraction form
205.64/283.69 = 122.70/x - Step 3: Cross multiply
205.64x = 283.69 × 122.70 - Step 4: Simplify right side
205.64x = 34,808.76 - Step 5: Solve for x
x = 34,808.76/205.64 - Step 6: Final answer
x = 169.27
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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.