Finding the Fourth Proportional to 284.64, 392.36 and 201.62
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Solution
The fourth proportional to 284.64, 392.36 and 201.62 is: 277.92
Step by Step Solution
- Step 1: Write the proportion equation
284.64 : 392.36 = 201.62 : x - Step 2: Convert to fraction form
284.64/392.36 = 201.62/x - Step 3: Cross multiply
284.64x = 392.36 × 201.62 - Step 4: Simplify right side
284.64x = 79,107.62 - Step 5: Solve for x
x = 79,107.62/284.64 - Step 6: Final answer
x = 277.92
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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.