Finding the Fourth Proportional to 189.14, 283.01 and 118.80
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Solution
The fourth proportional to 189.14, 283.01 and 118.80 is: 177.76
Step by Step Solution
- Step 1: Write the proportion equation
189.14 : 283.01 = 118.80 : x - Step 2: Convert to fraction form
189.14/283.01 = 118.80/x - Step 3: Cross multiply
189.14x = 283.01 × 118.80 - Step 4: Simplify right side
189.14x = 33,620.99 - Step 5: Solve for x
x = 33,620.99/189.14 - Step 6: Final answer
x = 177.76
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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.