Finding the Fourth Proportional to 311.24, 464.99 and 278.44
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Solution
The fourth proportional to 311.24, 464.99 and 278.44 is: 415.98
Step by Step Solution
- Step 1: Write the proportion equation
311.24 : 464.99 = 278.44 : x - Step 2: Convert to fraction form
311.24/464.99 = 278.44/x - Step 3: Cross multiply
311.24x = 464.99 × 278.44 - Step 4: Simplify right side
311.24x = 129,470.83 - Step 5: Solve for x
x = 129,470.83/311.24 - Step 6: Final answer
x = 415.98
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.