Finding the Fourth Proportional to 201.14, 277.62 and 113.84
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Solution
The fourth proportional to 201.14, 277.62 and 113.84 is: 157.13
Step by Step Solution
- Step 1: Write the proportion equation
201.14 : 277.62 = 113.84 : x - Step 2: Convert to fraction form
201.14/277.62 = 113.84/x - Step 3: Cross multiply
201.14x = 277.62 × 113.84 - Step 4: Simplify right side
201.14x = 31,604.26 - Step 5: Solve for x
x = 31,604.26/201.14 - Step 6: Final answer
x = 157.13
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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.