Finding the Fourth Proportional to 201.76, 278.44 and 199.63
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Solution
The fourth proportional to 201.76, 278.44 and 199.63 is: 275.50
Step by Step Solution
- Step 1: Write the proportion equation
201.76 : 278.44 = 199.63 : x - Step 2: Convert to fraction form
201.76/278.44 = 199.63/x - Step 3: Cross multiply
201.76x = 278.44 × 199.63 - Step 4: Simplify right side
201.76x = 55,584.83 - Step 5: Solve for x
x = 55,584.83/201.76 - Step 6: Final answer
x = 275.50
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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.