Finding the Fourth Proportional to 278.92, 417.64 and 163.26
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Solution
The fourth proportional to 278.92, 417.64 and 163.26 is: 244.46
Step by Step Solution
- Step 1: Write the proportion equation
278.92 : 417.64 = 163.26 : x - Step 2: Convert to fraction form
278.92/417.64 = 163.26/x - Step 3: Cross multiply
278.92x = 417.64 × 163.26 - Step 4: Simplify right side
278.92x = 68,183.91 - Step 5: Solve for x
x = 68,183.91/278.92 - Step 6: Final answer
x = 244.46
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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.