Finding the Fourth Proportional to 201.28, 302.24 and 177.44
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Solution
The fourth proportional to 201.28, 302.24 and 177.44 is: 266.44
Step by Step Solution
- Step 1: Write the proportion equation
201.28 : 302.24 = 177.44 : x - Step 2: Convert to fraction form
201.28/302.24 = 177.44/x - Step 3: Cross multiply
201.28x = 302.24 × 177.44 - Step 4: Simplify right side
201.28x = 53,629.47 - Step 5: Solve for x
x = 53,629.47/201.28 - Step 6: Final answer
x = 266.44
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.