Finding the Fourth Proportional to 207.64, 311.74 and 121.08
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Solution
The fourth proportional to 207.64, 311.74 and 121.08 is: 181.78
Step by Step Solution
- Step 1: Write the proportion equation
207.64 : 311.74 = 121.08 : x - Step 2: Convert to fraction form
207.64/311.74 = 121.08/x - Step 3: Cross multiply
207.64x = 311.74 × 121.08 - Step 4: Simplify right side
207.64x = 37,745.48 - Step 5: Solve for x
x = 37,745.48/207.64 - Step 6: Final answer
x = 181.78
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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.