Finding the Fourth Proportional to 109.44, 163.70 and 76.94
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Solution
The fourth proportional to 109.44, 163.70 and 76.94 is: 115.09
Step by Step Solution
- Step 1: Write the proportion equation
109.44 : 163.70 = 76.94 : x - Step 2: Convert to fraction form
109.44/163.70 = 76.94/x - Step 3: Cross multiply
109.44x = 163.70 × 76.94 - Step 4: Simplify right side
109.44x = 12,595.08 - Step 5: Solve for x
x = 12,595.08/109.44 - Step 6: Final answer
x = 115.09
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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.