Finding the Fourth Proportional to 294.25, 406.09 and 163.26
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Solution
The fourth proportional to 294.25, 406.09 and 163.26 is: 225.31
Step by Step Solution
- Step 1: Write the proportion equation
294.25 : 406.09 = 163.26 : x - Step 2: Convert to fraction form
294.25/406.09 = 163.26/x - Step 3: Cross multiply
294.25x = 406.09 × 163.26 - Step 4: Simplify right side
294.25x = 66,298.91 - Step 5: Solve for x
x = 66,298.91/294.25 - Step 6: Final answer
x = 225.31
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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.