Finding the Fourth Proportional to 272.74, 408.87 and 164.74
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Solution
The fourth proportional to 272.74, 408.87 and 164.74 is: 246.97
Step by Step Solution
- Step 1: Write the proportion equation
272.74 : 408.87 = 164.74 : x - Step 2: Convert to fraction form
272.74/408.87 = 164.74/x - Step 3: Cross multiply
272.74x = 408.87 × 164.74 - Step 4: Simplify right side
272.74x = 67,357.24 - Step 5: Solve for x
x = 67,357.24/272.74 - Step 6: Final answer
x = 246.97
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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.