Finding the Fourth Proportional to 122.60, 182.78 and 119.44
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Solution
The fourth proportional to 122.60, 182.78 and 119.44 is: 178.07
Step by Step Solution
- Step 1: Write the proportion equation
122.60 : 182.78 = 119.44 : x - Step 2: Convert to fraction form
122.60/182.78 = 119.44/x - Step 3: Cross multiply
122.60x = 182.78 × 119.44 - Step 4: Simplify right side
122.60x = 21,831.08 - Step 5: Solve for x
x = 21,831.08/122.60 - Step 6: Final answer
x = 178.07
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.