Finding the Fourth Proportional to 193.11, 289.75 and 106.44
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Solution
The fourth proportional to 193.11, 289.75 and 106.44 is: 159.71
Step by Step Solution
- Step 1: Write the proportion equation
193.11 : 289.75 = 106.44 : x - Step 2: Convert to fraction form
193.11/289.75 = 106.44/x - Step 3: Cross multiply
193.11x = 289.75 × 106.44 - Step 4: Simplify right side
193.11x = 30,840.99 - Step 5: Solve for x
x = 30,840.99/193.11 - Step 6: Final answer
x = 159.71
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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.