Finding the Fourth Proportional to 203.21, 280.21 and 163.82
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Solution
The fourth proportional to 203.21, 280.21 and 163.82 is: 225.90
Step by Step Solution
- Step 1: Write the proportion equation
203.21 : 280.21 = 163.82 : x - Step 2: Convert to fraction form
203.21/280.21 = 163.82/x - Step 3: Cross multiply
203.21x = 280.21 × 163.82 - Step 4: Simplify right side
203.21x = 45,903.99 - Step 5: Solve for x
x = 45,903.99/203.21 - Step 6: Final answer
x = 225.90
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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.