Finding the Fourth Proportional to 289.09, 399.08 and 178.63
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Solution
The fourth proportional to 289.09, 399.08 and 178.63 is: 246.59
Step by Step Solution
- Step 1: Write the proportion equation
289.09 : 399.08 = 178.63 : x - Step 2: Convert to fraction form
289.09/399.08 = 178.63/x - Step 3: Cross multiply
289.09x = 399.08 × 178.63 - Step 4: Simplify right side
289.09x = 71,284.77 - Step 5: Solve for x
x = 71,284.77/289.09 - Step 6: Final answer
x = 246.59
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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.