Finding the Fourth Proportional to 189.63, 283.99 and 108.23
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Solution
The fourth proportional to 189.63, 283.99 and 108.23 is: 162.07
Step by Step Solution
- Step 1: Write the proportion equation
189.63 : 283.99 = 108.23 : x - Step 2: Convert to fraction form
189.63/283.99 = 108.23/x - Step 3: Cross multiply
189.63x = 283.99 × 108.23 - Step 4: Simplify right side
189.63x = 30,734.28 - Step 5: Solve for x
x = 30,734.28/189.63 - Step 6: Final answer
x = 162.07
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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.