Finding the Fourth Proportional to 252.96, 379.44 and 199.14
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Solution
The fourth proportional to 252.96, 379.44 and 199.14 is: 298.71
Step by Step Solution
- Step 1: Write the proportion equation
252.96 : 379.44 = 199.14 : x - Step 2: Convert to fraction form
252.96/379.44 = 199.14/x - Step 3: Cross multiply
252.96x = 379.44 × 199.14 - Step 4: Simplify right side
252.96x = 75,561.68 - Step 5: Solve for x
x = 75,561.68/252.96 - Step 6: Final answer
x = 298.71
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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.