Finding the Fourth Proportional to 378.57, 567.81 and 161.99
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Solution
The fourth proportional to 378.57, 567.81 and 161.99 is: 242.96
Step by Step Solution
- Step 1: Write the proportion equation
378.57 : 567.81 = 161.99 : x - Step 2: Convert to fraction form
378.57/567.81 = 161.99/x - Step 3: Cross multiply
378.57x = 567.81 × 161.99 - Step 4: Simplify right side
378.57x = 91,976.70 - Step 5: Solve for x
x = 91,976.70/378.57 - Step 6: Final answer
x = 242.96
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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.