Finding the Fourth Proportional to 294.87, 406.71 and 196.47
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Solution
The fourth proportional to 294.87, 406.71 and 196.47 is: 270.99
Step by Step Solution
- Step 1: Write the proportion equation
294.87 : 406.71 = 196.47 : x - Step 2: Convert to fraction form
294.87/406.71 = 196.47/x - Step 3: Cross multiply
294.87x = 406.71 × 196.47 - Step 4: Simplify right side
294.87x = 79,906.31 - Step 5: Solve for x
x = 79,906.31/294.87 - Step 6: Final answer
x = 270.99
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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.