Finding the Fourth Proportional to 305.99, 422.64 and 201.42
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Solution
The fourth proportional to 305.99, 422.64 and 201.42 is: 278.21
Step by Step Solution
- Step 1: Write the proportion equation
305.99 : 422.64 = 201.42 : x - Step 2: Convert to fraction form
305.99/422.64 = 201.42/x - Step 3: Cross multiply
305.99x = 422.64 × 201.42 - Step 4: Simplify right side
305.99x = 85,128.15 - Step 5: Solve for x
x = 85,128.15/305.99 - Step 6: Final answer
x = 278.21
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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.