Finding the Fourth Proportional to 122.25, 183.36 and 74.46
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Solution
The fourth proportional to 122.25, 183.36 and 74.46 is: 111.68
Step by Step Solution
- Step 1: Write the proportion equation
122.25 : 183.36 = 74.46 : x - Step 2: Convert to fraction form
122.25/183.36 = 74.46/x - Step 3: Cross multiply
122.25x = 183.36 × 74.46 - Step 4: Simplify right side
122.25x = 13,652.99 - Step 5: Solve for x
x = 13,652.99/122.25 - Step 6: Final answer
x = 111.68
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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.