Finding the Fourth Proportional to 231.24, 346.79 and 77.12
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Solution
The fourth proportional to 231.24, 346.79 and 77.12 is: 115.66
Step by Step Solution
- Step 1: Write the proportion equation
231.24 : 346.79 = 77.12 : x - Step 2: Convert to fraction form
231.24/346.79 = 77.12/x - Step 3: Cross multiply
231.24x = 346.79 × 77.12 - Step 4: Simplify right side
231.24x = 26,745.07 - Step 5: Solve for x
x = 26,745.07/231.24 - Step 6: Final answer
x = 115.66
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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.