Finding the Fourth Proportional to 281.42, 422.15 and 75.99
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Solution
The fourth proportional to 281.42, 422.15 and 75.99 is: 113.99
Step by Step Solution
- Step 1: Write the proportion equation
281.42 : 422.15 = 75.99 : x - Step 2: Convert to fraction form
281.42/422.15 = 75.99/x - Step 3: Cross multiply
281.42x = 422.15 × 75.99 - Step 4: Simplify right side
281.42x = 32,077.79 - Step 5: Solve for x
x = 32,077.79/281.42 - Step 6: Final answer
x = 113.99
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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.