Finding the Fourth Proportional to 193.14, 289.74 and 84.93
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Solution
The fourth proportional to 193.14, 289.74 and 84.93 is: 127.41
Step by Step Solution
- Step 1: Write the proportion equation
193.14 : 289.74 = 84.93 : x - Step 2: Convert to fraction form
193.14/289.74 = 84.93/x - Step 3: Cross multiply
193.14x = 289.74 × 84.93 - Step 4: Simplify right side
193.14x = 24,607.62 - Step 5: Solve for x
x = 24,607.62/193.14 - Step 6: Final answer
x = 127.41
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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.