Finding the Fourth Proportional to 251.99, 378.14 and 107.70
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Solution
The fourth proportional to 251.99, 378.14 and 107.70 is: 161.62
Step by Step Solution
- Step 1: Write the proportion equation
251.99 : 378.14 = 107.70 : x - Step 2: Convert to fraction form
251.99/378.14 = 107.70/x - Step 3: Cross multiply
251.99x = 378.14 × 107.70 - Step 4: Simplify right side
251.99x = 40,725.68 - Step 5: Solve for x
x = 40,725.68/251.99 - Step 6: Final answer
x = 161.62
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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.