Finding the Fourth Proportional to 305.12, 420.96 and 201.44
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Solution
The fourth proportional to 305.12, 420.96 and 201.44 is: 277.92
Step by Step Solution
- Step 1: Write the proportion equation
305.12 : 420.96 = 201.44 : x - Step 2: Convert to fraction form
305.12/420.96 = 201.44/x - Step 3: Cross multiply
305.12x = 420.96 × 201.44 - Step 4: Simplify right side
305.12x = 84,798.18 - Step 5: Solve for x
x = 84,798.18/305.12 - 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.