Finding the Fourth Proportional to 283.80, 391.84 and 195.44
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Solution
The fourth proportional to 283.80, 391.84 and 195.44 is: 269.84
Step by Step Solution
- Step 1: Write the proportion equation
283.80 : 391.84 = 195.44 : x - Step 2: Convert to fraction form
283.80/391.84 = 195.44/x - Step 3: Cross multiply
283.80x = 391.84 × 195.44 - Step 4: Simplify right side
283.80x = 76,581.21 - Step 5: Solve for x
x = 76,581.21/283.80 - Step 6: Final answer
x = 269.84
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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.