Finding the Fourth Proportional to 294.24, 406.08 and 163.28
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Solution
The fourth proportional to 294.24, 406.08 and 163.28 is: 225.34
Step by Step Solution
- Step 1: Write the proportion equation
294.24 : 406.08 = 163.28 : x - Step 2: Convert to fraction form
294.24/406.08 = 163.28/x - Step 3: Cross multiply
294.24x = 406.08 × 163.28 - Step 4: Simplify right side
294.24x = 66,304.74 - Step 5: Solve for x
x = 66,304.74/294.24 - Step 6: Final answer
x = 225.34
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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.