Finding the Fourth Proportional to 192.74, 289.09 and 55.80
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Solution
The fourth proportional to 192.74, 289.09 and 55.80 is: 83.69
Step by Step Solution
- Step 1: Write the proportion equation
192.74 : 289.09 = 55.80 : x - Step 2: Convert to fraction form
192.74/289.09 = 55.80/x - Step 3: Cross multiply
192.74x = 289.09 × 55.80 - Step 4: Simplify right side
192.74x = 16,131.22 - Step 5: Solve for x
x = 16,131.22/192.74 - Step 6: Final answer
x = 83.69
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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.