Finding the Fourth Proportional to 311.74, 430.02 and 201.32
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Solution
The fourth proportional to 311.74, 430.02 and 201.32 is: 277.70
Step by Step Solution
- Step 1: Write the proportion equation
311.74 : 430.02 = 201.32 : x - Step 2: Convert to fraction form
311.74/430.02 = 201.32/x - Step 3: Cross multiply
311.74x = 430.02 × 201.32 - Step 4: Simplify right side
311.74x = 86,571.63 - Step 5: Solve for x
x = 86,571.63/311.74 - Step 6: Final answer
x = 277.70
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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.