Finding the Fourth Proportional to 201.92, 278.48 and 177.28
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Solution
The fourth proportional to 201.92, 278.48 and 177.28 is: 244.50
Step by Step Solution
- Step 1: Write the proportion equation
201.92 : 278.48 = 177.28 : x - Step 2: Convert to fraction form
201.92/278.48 = 177.28/x - Step 3: Cross multiply
201.92x = 278.48 × 177.28 - Step 4: Simplify right side
201.92x = 49,368.93 - Step 5: Solve for x
x = 49,368.93/201.92 - Step 6: Final answer
x = 244.50
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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.