Finding the Fourth Proportional to 192.26, 288.24 and 76.68
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Solution
The fourth proportional to 192.26, 288.24 and 76.68 is: 114.96
Step by Step Solution
- Step 1: Write the proportion equation
192.26 : 288.24 = 76.68 : x - Step 2: Convert to fraction form
192.26/288.24 = 76.68/x - Step 3: Cross multiply
192.26x = 288.24 × 76.68 - Step 4: Simplify right side
192.26x = 22,102.24 - Step 5: Solve for x
x = 22,102.24/192.26 - Step 6: Final answer
x = 114.96
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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.