Finding the Fourth Proportional to 201.65, 278.21 and 122.94
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Solution
The fourth proportional to 201.65, 278.21 and 122.94 is: 169.61
Step by Step Solution
- Step 1: Write the proportion equation
201.65 : 278.21 = 122.94 : x - Step 2: Convert to fraction form
201.65/278.21 = 122.94/x - Step 3: Cross multiply
201.65x = 278.21 × 122.94 - Step 4: Simplify right side
201.65x = 34,201.13 - Step 5: Solve for x
x = 34,201.13/201.65 - Step 6: Final answer
x = 169.61
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.