Finding the Fourth Proportional to 311.49, 467.08 and 105.99
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Solution
The fourth proportional to 311.49, 467.08 and 105.99 is: 158.93
Step by Step Solution
- Step 1: Write the proportion equation
311.49 : 467.08 = 105.99 : x - Step 2: Convert to fraction form
311.49/467.08 = 105.99/x - Step 3: Cross multiply
311.49x = 467.08 × 105.99 - Step 4: Simplify right side
311.49x = 49,505.81 - Step 5: Solve for x
x = 49,505.81/311.49 - Step 6: Final answer
x = 158.93
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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.