Finding the Fourth Proportional to 75.38, 112.91 and 54.99
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Solution
The fourth proportional to 75.38, 112.91 and 54.99 is: 82.37
Step by Step Solution
- Step 1: Write the proportion equation
75.38 : 112.91 = 54.99 : x - Step 2: Convert to fraction form
75.38/112.91 = 54.99/x - Step 3: Cross multiply
75.38x = 112.91 × 54.99 - Step 4: Simplify right side
75.38x = 6,208.65 - Step 5: Solve for x
x = 6,208.65/75.38 - Step 6: Final answer
x = 82.37
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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.