Finding the Fourth Proportional to 266.63, 400.14 and 122.40
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Solution
The fourth proportional to 266.63, 400.14 and 122.40 is: 183.69
Step by Step Solution
- Step 1: Write the proportion equation
266.63 : 400.14 = 122.40 : x - Step 2: Convert to fraction form
266.63/400.14 = 122.40/x - Step 3: Cross multiply
266.63x = 400.14 × 122.40 - Step 4: Simplify right side
266.63x = 48,977.14 - Step 5: Solve for x
x = 48,977.14/266.63 - Step 6: Final answer
x = 183.69
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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.