Finding the Fourth Proportional to 189.14, 261.02 and 106.26
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Solution
The fourth proportional to 189.14, 261.02 and 106.26 is: 146.64
Step by Step Solution
- Step 1: Write the proportion equation
189.14 : 261.02 = 106.26 : x - Step 2: Convert to fraction form
189.14/261.02 = 106.26/x - Step 3: Cross multiply
189.14x = 261.02 × 106.26 - Step 4: Simplify right side
189.14x = 27,735.99 - Step 5: Solve for x
x = 27,735.99/189.14 - Step 6: Final answer
x = 146.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.