Finding the Fourth Proportional to 311.75, 430.09 and 201.18
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Solution
The fourth proportional to 311.75, 430.09 and 201.18 is: 277.55
Step by Step Solution
- Step 1: Write the proportion equation
311.75 : 430.09 = 201.18 : x - Step 2: Convert to fraction form
311.75/430.09 = 201.18/x - Step 3: Cross multiply
311.75x = 430.09 × 201.18 - Step 4: Simplify right side
311.75x = 86,526.62 - Step 5: Solve for x
x = 86,526.62/311.75 - Step 6: Final answer
x = 277.55
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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.