Finding the Fourth Proportional to 201.92, 278.66 and 119.05
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Solution
The fourth proportional to 201.92, 278.66 and 119.05 is: 164.29
Step by Step Solution
- Step 1: Write the proportion equation
201.92 : 278.66 = 119.05 : x - Step 2: Convert to fraction form
201.92/278.66 = 119.05/x - Step 3: Cross multiply
201.92x = 278.66 × 119.05 - Step 4: Simplify right side
201.92x = 33,173.18 - Step 5: Solve for x
x = 33,173.18/201.92 - Step 6: Final answer
x = 164.29
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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.