Finding the Fourth Proportional to 189.26, 283.67 and 91.81
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Solution
The fourth proportional to 189.26, 283.67 and 91.81 is: 137.60
Step by Step Solution
- Step 1: Write the proportion equation
189.26 : 283.67 = 91.81 : x - Step 2: Convert to fraction form
189.26/283.67 = 91.81/x - Step 3: Cross multiply
189.26x = 283.67 × 91.81 - Step 4: Simplify right side
189.26x = 26,041.87 - Step 5: Solve for x
x = 26,041.87/189.26 - Step 6: Final answer
x = 137.60
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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.