Finding the Fourth Proportional to 284.26, 426.26 and 110.96
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Solution
The fourth proportional to 284.26, 426.26 and 110.96 is: 166.39
Step by Step Solution
- Step 1: Write the proportion equation
284.26 : 426.26 = 110.96 : x - Step 2: Convert to fraction form
284.26/426.26 = 110.96/x - Step 3: Cross multiply
284.26x = 426.26 × 110.96 - Step 4: Simplify right side
284.26x = 47,297.81 - Step 5: Solve for x
x = 47,297.81/284.26 - Step 6: Final answer
x = 166.39
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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.