Finding the Fourth Proportional to 378.62, 567.80 and 195.99
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Solution
The fourth proportional to 378.62, 567.80 and 195.99 is: 293.92
Step by Step Solution
- Step 1: Write the proportion equation
378.62 : 567.80 = 195.99 : x - Step 2: Convert to fraction form
378.62/567.80 = 195.99/x - Step 3: Cross multiply
378.62x = 567.80 × 195.99 - Step 4: Simplify right side
378.62x = 111,282.14 - Step 5: Solve for x
x = 111,282.14/378.62 - Step 6: Final answer
x = 293.92
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.