Finding the Fourth Proportional to 205.79, 283.84 and 192.68
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Solution
The fourth proportional to 205.79, 283.84 and 192.68 is: 265.75
Step by Step Solution
- Step 1: Write the proportion equation
205.79 : 283.84 = 192.68 : x - Step 2: Convert to fraction form
205.79/283.84 = 192.68/x - Step 3: Cross multiply
205.79x = 283.84 × 192.68 - Step 4: Simplify right side
205.79x = 54,687.91 - Step 5: Solve for x
x = 54,687.91/205.79 - Step 6: Final answer
x = 265.75
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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.