Finding the Fourth Proportional to 178.23, 246 and 112.70
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Solution
The fourth proportional to 178.23, 246 and 112.70 is: 155.55
Step by Step Solution
- Step 1: Write the proportion equation
178.23 : 246 = 112.70 : x - Step 2: Convert to fraction form
178.23/246 = 112.70/x - Step 3: Cross multiply
178.23x = 246 × 112.70 - Step 4: Simplify right side
178.23x = 27,722.97 - Step 5: Solve for x
x = 27,722.97/178.23 - Step 6: Final answer
x = 155.55
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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.