Finding the Fourth Proportional to 206.19, 283.92 and 201.63
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Solution
The fourth proportional to 206.19, 283.92 and 201.63 is: 277.64
Step by Step Solution
- Step 1: Write the proportion equation
206.19 : 283.92 = 201.63 : x - Step 2: Convert to fraction form
206.19/283.92 = 201.63/x - Step 3: Cross multiply
206.19x = 283.92 × 201.63 - Step 4: Simplify right side
206.19x = 57,247.10 - Step 5: Solve for x
x = 57,247.10/206.19 - Step 6: Final answer
x = 277.64
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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.