Finding the Fourth Proportional to 178.92, 268.26 and 92.09
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Solution
The fourth proportional to 178.92, 268.26 and 92.09 is: 138.07
Step by Step Solution
- Step 1: Write the proportion equation
178.92 : 268.26 = 92.09 : x - Step 2: Convert to fraction form
178.92/268.26 = 92.09/x - Step 3: Cross multiply
178.92x = 268.26 × 92.09 - Step 4: Simplify right side
178.92x = 24,704.06 - Step 5: Solve for x
x = 24,704.06/178.92 - Step 6: Final answer
x = 138.07
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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.