Finding the Fourth Proportional to 311.79, 430.07 and 201.41
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Solution
The fourth proportional to 311.79, 430.07 and 201.41 is: 277.81
Step by Step Solution
- Step 1: Write the proportion equation
311.79 : 430.07 = 201.41 : x - Step 2: Convert to fraction form
311.79/430.07 = 201.41/x - Step 3: Cross multiply
311.79x = 430.07 × 201.41 - Step 4: Simplify right side
311.79x = 86,617.24 - Step 5: Solve for x
x = 86,617.24/311.79 - Step 6: Final answer
x = 277.81
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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.