Finding the Fourth Proportional to 122.16, 183.98 and 107.13
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Solution
The fourth proportional to 122.16, 183.98 and 107.13 is: 161.34
Step by Step Solution
- Step 1: Write the proportion equation
122.16 : 183.98 = 107.13 : x - Step 2: Convert to fraction form
122.16/183.98 = 107.13/x - Step 3: Cross multiply
122.16x = 183.98 × 107.13 - Step 4: Simplify right side
122.16x = 19,709.24 - Step 5: Solve for x
x = 19,709.24/122.16 - Step 6: Final answer
x = 161.34
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.