Finding the Fourth Proportional to 189.50, 284.26 and 74.08
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Solution
The fourth proportional to 189.50, 284.26 and 74.08 is: 111.12
Step by Step Solution
- Step 1: Write the proportion equation
189.50 : 284.26 = 74.08 : x - Step 2: Convert to fraction form
189.50/284.26 = 74.08/x - Step 3: Cross multiply
189.50x = 284.26 × 74.08 - Step 4: Simplify right side
189.50x = 21,057.98 - Step 5: Solve for x
x = 21,057.98/189.50 - Step 6: Final answer
x = 111.12
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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.