Finding the Fourth Proportional to 197.02, 271.77 and 163.99
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Solution
The fourth proportional to 197.02, 271.77 and 163.99 is: 226.21
Step by Step Solution
- Step 1: Write the proportion equation
197.02 : 271.77 = 163.99 : x - Step 2: Convert to fraction form
197.02/271.77 = 163.99/x - Step 3: Cross multiply
197.02x = 271.77 × 163.99 - Step 4: Simplify right side
197.02x = 44,566.20 - Step 5: Solve for x
x = 44,566.20/197.02 - Step 6: Final answer
x = 226.21
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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.