Finding the Fourth Proportional to 189.36, 284.11 and 81.09
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Solution
The fourth proportional to 189.36, 284.11 and 81.09 is: 121.66
Step by Step Solution
- Step 1: Write the proportion equation
189.36 : 284.11 = 81.09 : x - Step 2: Convert to fraction form
189.36/284.11 = 81.09/x - Step 3: Cross multiply
189.36x = 284.11 × 81.09 - Step 4: Simplify right side
189.36x = 23,038.28 - Step 5: Solve for x
x = 23,038.28/189.36 - Step 6: Final answer
x = 121.66
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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.