Finding the Fourth Proportional to 83.99, 115.87 and 77.44
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Solution
The fourth proportional to 83.99, 115.87 and 77.44 is: 106.83
Step by Step Solution
- Step 1: Write the proportion equation
83.99 : 115.87 = 77.44 : x - Step 2: Convert to fraction form
83.99/115.87 = 77.44/x - Step 3: Cross multiply
83.99x = 115.87 × 77.44 - Step 4: Simplify right side
83.99x = 8,972.97 - Step 5: Solve for x
x = 8,972.97/83.99 - Step 6: Final answer
x = 106.83
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.