Finding the Fourth Proportional to 189.53, 283.99 and 163.81
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Solution
The fourth proportional to 189.53, 283.99 and 163.81 is: 245.45
Step by Step Solution
- Step 1: Write the proportion equation
189.53 : 283.99 = 163.81 : x - Step 2: Convert to fraction form
189.53/283.99 = 163.81/x - Step 3: Cross multiply
189.53x = 283.99 × 163.81 - Step 4: Simplify right side
189.53x = 46,520.40 - Step 5: Solve for x
x = 46,520.40/189.53 - Step 6: Final answer
x = 245.45
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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.