Finding the Fourth Proportional to 272.24, 409.11 and 270.74
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Solution
The fourth proportional to 272.24, 409.11 and 270.74 is: 406.86
Step by Step Solution
- Step 1: Write the proportion equation
272.24 : 409.11 = 270.74 : x - Step 2: Convert to fraction form
272.24/409.11 = 270.74/x - Step 3: Cross multiply
272.24x = 409.11 × 270.74 - Step 4: Simplify right side
272.24x = 110,762.44 - Step 5: Solve for x
x = 110,762.44/272.24 - Step 6: Final answer
x = 406.86
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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.