Finding the Fourth Proportional to 296.70, 408.96 and 226.68
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Solution
The fourth proportional to 296.70, 408.96 and 226.68 is: 312.45
Step by Step Solution
- Step 1: Write the proportion equation
296.70 : 408.96 = 226.68 : x - Step 2: Convert to fraction form
296.70/408.96 = 226.68/x - Step 3: Cross multiply
296.70x = 408.96 × 226.68 - Step 4: Simplify right side
296.70x = 92,703.05 - Step 5: Solve for x
x = 92,703.05/296.70 - Step 6: Final answer
x = 312.45
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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.