Finding the Fourth Proportional to 252.02, 378.09 and 107.75
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Solution
The fourth proportional to 252.02, 378.09 and 107.75 is: 161.65
Step by Step Solution
- Step 1: Write the proportion equation
252.02 : 378.09 = 107.75 : x - Step 2: Convert to fraction form
252.02/378.09 = 107.75/x - Step 3: Cross multiply
252.02x = 378.09 × 107.75 - Step 4: Simplify right side
252.02x = 40,739.20 - Step 5: Solve for x
x = 40,739.20/252.02 - Step 6: Final answer
x = 161.65
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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.