Finding the Fourth Proportional to 281.14, 422.10 and 119.14
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Solution
The fourth proportional to 281.14, 422.10 and 119.14 is: 178.88
Step by Step Solution
- Step 1: Write the proportion equation
281.14 : 422.10 = 119.14 : x - Step 2: Convert to fraction form
281.14/422.10 = 119.14/x - Step 3: Cross multiply
281.14x = 422.10 × 119.14 - Step 4: Simplify right side
281.14x = 50,288.99 - Step 5: Solve for x
x = 50,288.99/281.14 - Step 6: Final answer
x = 178.88
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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.