Finding the Fourth Proportional to 289.21, 433.77 and 115.96
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Solution
The fourth proportional to 289.21, 433.77 and 115.96 is: 173.92
Step by Step Solution
- Step 1: Write the proportion equation
289.21 : 433.77 = 115.96 : x - Step 2: Convert to fraction form
289.21/433.77 = 115.96/x - Step 3: Cross multiply
289.21x = 433.77 × 115.96 - Step 4: Simplify right side
289.21x = 50,299.97 - Step 5: Solve for x
x = 50,299.97/289.21 - Step 6: Final answer
x = 173.92
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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.