Finding the Fourth Proportional to 208.26, 312.21 and 115.70
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Solution
The fourth proportional to 208.26, 312.21 and 115.70 is: 173.45
Step by Step Solution
- Step 1: Write the proportion equation
208.26 : 312.21 = 115.70 : x - Step 2: Convert to fraction form
208.26/312.21 = 115.70/x - Step 3: Cross multiply
208.26x = 312.21 × 115.70 - Step 4: Simplify right side
208.26x = 36,122.70 - Step 5: Solve for x
x = 36,122.70/208.26 - Step 6: Final answer
x = 173.45
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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.