Finding the Fourth Proportional to 289.76, 434.36 and 97.26
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Solution
The fourth proportional to 289.76, 434.36 and 97.26 is: 145.80
Step by Step Solution
- Step 1: Write the proportion equation
289.76 : 434.36 = 97.26 : x - Step 2: Convert to fraction form
289.76/434.36 = 97.26/x - Step 3: Cross multiply
289.76x = 434.36 × 97.26 - Step 4: Simplify right side
289.76x = 42,245.85 - Step 5: Solve for x
x = 42,245.85/289.76 - Step 6: Final answer
x = 145.80
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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.