Finding the Fourth Proportional to 122.19, 182.97 and 76.40
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Solution
The fourth proportional to 122.19, 182.97 and 76.40 is: 114.40
Step by Step Solution
- Step 1: Write the proportion equation
122.19 : 182.97 = 76.40 : x - Step 2: Convert to fraction form
122.19/182.97 = 76.40/x - Step 3: Cross multiply
122.19x = 182.97 × 76.40 - Step 4: Simplify right side
122.19x = 13,977.99 - Step 5: Solve for x
x = 13,977.99/122.19 - Step 6: Final answer
x = 114.40
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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.