Finding the Fourth Proportional to 189.11, 283.67 and 97.68
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Solution
The fourth proportional to 189.11, 283.67 and 97.68 is: 146.52
Step by Step Solution
- Step 1: Write the proportion equation
189.11 : 283.67 = 97.68 : x - Step 2: Convert to fraction form
189.11/283.67 = 97.68/x - Step 3: Cross multiply
189.11x = 283.67 × 97.68 - Step 4: Simplify right side
189.11x = 27,708.40 - Step 5: Solve for x
x = 27,708.40/189.11 - Step 6: Final answer
x = 146.52
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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.