Finding the Fourth Proportional to 189.62, 284.26 and 81.26
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Solution
The fourth proportional to 189.62, 284.26 and 81.26 is: 121.82
Step by Step Solution
- Step 1: Write the proportion equation
189.62 : 284.26 = 81.26 : x - Step 2: Convert to fraction form
189.62/284.26 = 81.26/x - Step 3: Cross multiply
189.62x = 284.26 × 81.26 - Step 4: Simplify right side
189.62x = 23,098.97 - Step 5: Solve for x
x = 23,098.97/189.62 - Step 6: Final answer
x = 121.82
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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.