Finding the Fourth Proportional to 189.81, 261.99 and 106.97
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Solution
The fourth proportional to 189.81, 261.99 and 106.97 is: 147.64
Step by Step Solution
- Step 1: Write the proportion equation
189.81 : 261.99 = 106.97 : x - Step 2: Convert to fraction form
189.81/261.99 = 106.97/x - Step 3: Cross multiply
189.81x = 261.99 × 106.97 - Step 4: Simplify right side
189.81x = 28,024.88 - Step 5: Solve for x
x = 28,024.88/189.81 - Step 6: Final answer
x = 147.64
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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.