Finding the Fourth Proportional to 207.23, 311.09 and 138.92
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Solution
The fourth proportional to 207.23, 311.09 and 138.92 is: 208.54
Step by Step Solution
- Step 1: Write the proportion equation
207.23 : 311.09 = 138.92 : x - Step 2: Convert to fraction form
207.23/311.09 = 138.92/x - Step 3: Cross multiply
207.23x = 311.09 × 138.92 - Step 4: Simplify right side
207.23x = 43,214.37 - Step 5: Solve for x
x = 43,214.37/207.23 - Step 6: Final answer
x = 208.54
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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.