Finding the Fourth Proportional to 201.62, 278.02 and 179.75
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Solution
The fourth proportional to 201.62, 278.02 and 179.75 is: 247.86
Step by Step Solution
- Step 1: Write the proportion equation
201.62 : 278.02 = 179.75 : x - Step 2: Convert to fraction form
201.62/278.02 = 179.75/x - Step 3: Cross multiply
201.62x = 278.02 × 179.75 - Step 4: Simplify right side
201.62x = 49,974.10 - Step 5: Solve for x
x = 49,974.10/201.62 - Step 6: Final answer
x = 247.86
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.