Finding the Fourth Proportional to 207.74, 311.62 and 149.80
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Solution
The fourth proportional to 207.74, 311.62 and 149.80 is: 224.71
Step by Step Solution
- Step 1: Write the proportion equation
207.74 : 311.62 = 149.80 : x - Step 2: Convert to fraction form
207.74/311.62 = 149.80/x - Step 3: Cross multiply
207.74x = 311.62 × 149.80 - Step 4: Simplify right side
207.74x = 46,680.68 - Step 5: Solve for x
x = 46,680.68/207.74 - Step 6: Final answer
x = 224.71
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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.