Finding the Fourth Proportional to 201.09, 301.79 and 109.70
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Solution
The fourth proportional to 201.09, 301.79 and 109.70 is: 164.63
Step by Step Solution
- Step 1: Write the proportion equation
201.09 : 301.79 = 109.70 : x - Step 2: Convert to fraction form
201.09/301.79 = 109.70/x - Step 3: Cross multiply
201.09x = 301.79 × 109.70 - Step 4: Simplify right side
201.09x = 33,106.26 - Step 5: Solve for x
x = 33,106.26/201.09 - Step 6: Final answer
x = 164.63
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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.