Finding the Fourth Proportional to 203.23, 304.92 and 81.49
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Solution
The fourth proportional to 203.23, 304.92 and 81.49 is: 122.27
Step by Step Solution
- Step 1: Write the proportion equation
203.23 : 304.92 = 81.49 : x - Step 2: Convert to fraction form
203.23/304.92 = 81.49/x - Step 3: Cross multiply
203.23x = 304.92 × 81.49 - Step 4: Simplify right side
203.23x = 24,847.93 - Step 5: Solve for x
x = 24,847.93/203.23 - Step 6: Final answer
x = 122.27
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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.