Finding the Fourth Proportional to 201.26, 301.74 and 109.88
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Solution
The fourth proportional to 201.26, 301.74 and 109.88 is: 164.74
Step by Step Solution
- Step 1: Write the proportion equation
201.26 : 301.74 = 109.88 : x - Step 2: Convert to fraction form
201.26/301.74 = 109.88/x - Step 3: Cross multiply
201.26x = 301.74 × 109.88 - Step 4: Simplify right side
201.26x = 33,155.19 - Step 5: Solve for x
x = 33,155.19/201.26 - Step 6: Final answer
x = 164.74
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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.