Finding the Fourth Proportional to 276.81, 382.09 and 201.14
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Solution
The fourth proportional to 276.81, 382.09 and 201.14 is: 277.64
Step by Step Solution
- Step 1: Write the proportion equation
276.81 : 382.09 = 201.14 : x - Step 2: Convert to fraction form
276.81/382.09 = 201.14/x - Step 3: Cross multiply
276.81x = 382.09 × 201.14 - Step 4: Simplify right side
276.81x = 76,852.60 - Step 5: Solve for x
x = 76,852.60/276.81 - Step 6: Final answer
x = 277.64
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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.