Finding the Fourth Proportional to 122.16, 183.14 and 76.62
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Solution
The fourth proportional to 122.16, 183.14 and 76.62 is: 114.87
Step by Step Solution
- Step 1: Write the proportion equation
122.16 : 183.14 = 76.62 : x - Step 2: Convert to fraction form
122.16/183.14 = 76.62/x - Step 3: Cross multiply
122.16x = 183.14 × 76.62 - Step 4: Simplify right side
122.16x = 14,032.19 - Step 5: Solve for x
x = 14,032.19/122.16 - Step 6: Final answer
x = 114.87
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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.