Finding the Fourth Proportional to 189.51, 283.87 and 98.08
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Solution
The fourth proportional to 189.51, 283.87 and 98.08 is: 146.92
Step by Step Solution
- Step 1: Write the proportion equation
189.51 : 283.87 = 98.08 : x - Step 2: Convert to fraction form
189.51/283.87 = 98.08/x - Step 3: Cross multiply
189.51x = 283.87 × 98.08 - Step 4: Simplify right side
189.51x = 27,841.97 - Step 5: Solve for x
x = 27,841.97/189.51 - Step 6: Final answer
x = 146.92
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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.