Finding the Fourth Proportional to 296.43, 408.99 and 178.44
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Solution
The fourth proportional to 296.43, 408.99 and 178.44 is: 246.20
Step by Step Solution
- Step 1: Write the proportion equation
296.43 : 408.99 = 178.44 : x - Step 2: Convert to fraction form
296.43/408.99 = 178.44/x - Step 3: Cross multiply
296.43x = 408.99 × 178.44 - Step 4: Simplify right side
296.43x = 72,980.18 - Step 5: Solve for x
x = 72,980.18/296.43 - Step 6: Final answer
x = 246.20
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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.