Finding the Fourth Proportional to 178.78, 268.26 and 110.44
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Solution
The fourth proportional to 178.78, 268.26 and 110.44 is: 165.72
Step by Step Solution
- Step 1: Write the proportion equation
178.78 : 268.26 = 110.44 : x - Step 2: Convert to fraction form
178.78/268.26 = 110.44/x - Step 3: Cross multiply
178.78x = 268.26 × 110.44 - Step 4: Simplify right side
178.78x = 29,626.63 - Step 5: Solve for x
x = 29,626.63/178.78 - Step 6: Final answer
x = 165.72
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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.