Finding the Fourth Proportional to 122.14, 183.08 and 76.38
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Solution
The fourth proportional to 122.14, 183.08 and 76.38 is: 114.49
Step by Step Solution
- Step 1: Write the proportion equation
122.14 : 183.08 = 76.38 : x - Step 2: Convert to fraction form
122.14/183.08 = 76.38/x - Step 3: Cross multiply
122.14x = 183.08 × 76.38 - Step 4: Simplify right side
122.14x = 13,983.24 - Step 5: Solve for x
x = 13,983.24/122.14 - Step 6: Final answer
x = 114.49
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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.