Finding the Fourth Proportional to 193.28, 289.44 and 177.44
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Solution
The fourth proportional to 193.28, 289.44 and 177.44 is: 265.72
Step by Step Solution
- Step 1: Write the proportion equation
193.28 : 289.44 = 177.44 : x - Step 2: Convert to fraction form
193.28/289.44 = 177.44/x - Step 3: Cross multiply
193.28x = 289.44 × 177.44 - Step 4: Simplify right side
193.28x = 51,358.23 - Step 5: Solve for x
x = 51,358.23/193.28 - Step 6: Final answer
x = 265.72
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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.