Finding the Fourth Proportional to 296.24, 408.78 and 163.44
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Solution
The fourth proportional to 296.24, 408.78 and 163.44 is: 225.53
Step by Step Solution
- Step 1: Write the proportion equation
296.24 : 408.78 = 163.44 : x - Step 2: Convert to fraction form
296.24/408.78 = 163.44/x - Step 3: Cross multiply
296.24x = 408.78 × 163.44 - Step 4: Simplify right side
296.24x = 66,811.00 - Step 5: Solve for x
x = 66,811.00/296.24 - Step 6: Final answer
x = 225.53
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.