Finding the Fourth Proportional to 201.44, 278.01 and 122.80
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Solution
The fourth proportional to 201.44, 278.01 and 122.80 is: 169.48
Step by Step Solution
- Step 1: Write the proportion equation
201.44 : 278.01 = 122.80 : x - Step 2: Convert to fraction form
201.44/278.01 = 122.80/x - Step 3: Cross multiply
201.44x = 278.01 × 122.80 - Step 4: Simplify right side
201.44x = 34,139.63 - Step 5: Solve for x
x = 34,139.63/201.44 - Step 6: Final answer
x = 169.48
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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.