Finding the Fourth Proportional to 252.14, 378.34 and 105.99
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Solution
The fourth proportional to 252.14, 378.34 and 105.99 is: 159.04
Step by Step Solution
- Step 1: Write the proportion equation
252.14 : 378.34 = 105.99 : x - Step 2: Convert to fraction form
252.14/378.34 = 105.99/x - Step 3: Cross multiply
252.14x = 378.34 × 105.99 - Step 4: Simplify right side
252.14x = 40,099.73 - Step 5: Solve for x
x = 40,099.73/252.14 - Step 6: Final answer
x = 159.04
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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.