Finding the Fourth Proportional to 278.97, 418.19 and 201.75
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Solution
The fourth proportional to 278.97, 418.19 and 201.75 is: 302.43
Step by Step Solution
- Step 1: Write the proportion equation
278.97 : 418.19 = 201.75 : x - Step 2: Convert to fraction form
278.97/418.19 = 201.75/x - Step 3: Cross multiply
278.97x = 418.19 × 201.75 - Step 4: Simplify right side
278.97x = 84,368.82 - Step 5: Solve for x
x = 84,368.82/278.97 - Step 6: Final answer
x = 302.43
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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.