Finding the Fourth Proportional to 189.24, 261.05 and 130.23
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Solution
The fourth proportional to 189.24, 261.05 and 130.23 is: 179.65
Step by Step Solution
- Step 1: Write the proportion equation
189.24 : 261.05 = 130.23 : x - Step 2: Convert to fraction form
189.24/261.05 = 130.23/x - Step 3: Cross multiply
189.24x = 261.05 × 130.23 - Step 4: Simplify right side
189.24x = 33,996.99 - Step 5: Solve for x
x = 33,996.99/189.24 - Step 6: Final answer
x = 179.65
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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.