Finding the Fourth Proportional to 252.40, 378.74 and 149.80
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Solution
The fourth proportional to 252.40, 378.74 and 149.80 is: 224.78
Step by Step Solution
- Step 1: Write the proportion equation
252.40 : 378.74 = 149.80 : x - Step 2: Convert to fraction form
252.40/378.74 = 149.80/x - Step 3: Cross multiply
252.40x = 378.74 × 149.80 - Step 4: Simplify right side
252.40x = 56,735.25 - Step 5: Solve for x
x = 56,735.25/252.40 - Step 6: Final answer
x = 224.78
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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.