Finding the Fourth Proportional to 280.40, 419.99 and 225.99
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Solution
The fourth proportional to 280.40, 419.99 and 225.99 is: 338.50
Step by Step Solution
- Step 1: Write the proportion equation
280.40 : 419.99 = 225.99 : x - Step 2: Convert to fraction form
280.40/419.99 = 225.99/x - Step 3: Cross multiply
280.40x = 419.99 × 225.99 - Step 4: Simplify right side
280.40x = 94,912.41 - Step 5: Solve for x
x = 94,912.41/280.40 - Step 6: Final answer
x = 338.50
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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.