Finding the Fourth Proportional to 289.64, 434.19 and 106.99
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Solution
The fourth proportional to 289.64, 434.19 and 106.99 is: 160.38
Step by Step Solution
- Step 1: Write the proportion equation
289.64 : 434.19 = 106.99 : x - Step 2: Convert to fraction form
289.64/434.19 = 106.99/x - Step 3: Cross multiply
289.64x = 434.19 × 106.99 - Step 4: Simplify right side
289.64x = 46,453.30 - Step 5: Solve for x
x = 46,453.30/289.64 - Step 6: Final answer
x = 160.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.