Finding the Fourth Proportional to 163.21, 225.42 and 142.84
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Solution
The fourth proportional to 163.21, 225.42 and 142.84 is: 197.29
Step by Step Solution
- Step 1: Write the proportion equation
163.21 : 225.42 = 142.84 : x - Step 2: Convert to fraction form
163.21/225.42 = 142.84/x - Step 3: Cross multiply
163.21x = 225.42 × 142.84 - Step 4: Simplify right side
163.21x = 32,198.99 - Step 5: Solve for x
x = 32,198.99/163.21 - Step 6: Final answer
x = 197.29
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.