Finding the Fourth Proportional to 273.24, 409.84 and 119.08
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Solution
The fourth proportional to 273.24, 409.84 and 119.08 is: 178.61
Step by Step Solution
- Step 1: Write the proportion equation
273.24 : 409.84 = 119.08 : x - Step 2: Convert to fraction form
273.24/409.84 = 119.08/x - Step 3: Cross multiply
273.24x = 409.84 × 119.08 - Step 4: Simplify right side
273.24x = 48,803.75 - Step 5: Solve for x
x = 48,803.75/273.24 - Step 6: Final answer
x = 178.61
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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.