Finding the Fourth Proportional to 201.97, 302.53 and 147.09
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Solution
The fourth proportional to 201.97, 302.53 and 147.09 is: 220.33
Step by Step Solution
- Step 1: Write the proportion equation
201.97 : 302.53 = 147.09 : x - Step 2: Convert to fraction form
201.97/302.53 = 147.09/x - Step 3: Cross multiply
201.97x = 302.53 × 147.09 - Step 4: Simplify right side
201.97x = 44,499.14 - Step 5: Solve for x
x = 44,499.14/201.97 - Step 6: Final answer
x = 220.33
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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.