Finding the Fourth Proportional to 278.96, 417.96 and 163.32
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Solution
The fourth proportional to 278.96, 417.96 and 163.32 is: 244.70
Step by Step Solution
- Step 1: Write the proportion equation
278.96 : 417.96 = 163.32 : x - Step 2: Convert to fraction form
278.96/417.96 = 163.32/x - Step 3: Cross multiply
278.96x = 417.96 × 163.32 - Step 4: Simplify right side
278.96x = 68,261.23 - Step 5: Solve for x
x = 68,261.23/278.96 - Step 6: Final answer
x = 244.70
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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.