Finding the Fourth Proportional to 75.93, 113.86 and 27.84
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Solution
The fourth proportional to 75.93, 113.86 and 27.84 is: 41.75
Step by Step Solution
- Step 1: Write the proportion equation
75.93 : 113.86 = 27.84 : x - Step 2: Convert to fraction form
75.93/113.86 = 27.84/x - Step 3: Cross multiply
75.93x = 113.86 × 27.84 - Step 4: Simplify right side
75.93x = 3,169.86 - Step 5: Solve for x
x = 3,169.86/75.93 - Step 6: Final answer
x = 41.75
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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.