Finding the Fourth Proportional to 284.40, 393.12 and 261.72
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Solution
The fourth proportional to 284.40, 393.12 and 261.72 is: 361.77
Step by Step Solution
- Step 1: Write the proportion equation
284.40 : 393.12 = 261.72 : x - Step 2: Convert to fraction form
284.40/393.12 = 261.72/x - Step 3: Cross multiply
284.40x = 393.12 × 261.72 - Step 4: Simplify right side
284.40x = 102,887.37 - Step 5: Solve for x
x = 102,887.37/284.40 - Step 6: Final answer
x = 361.77
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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.