Finding the Fourth Proportional to 193.24, 289.83 and 64.99
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Solution
The fourth proportional to 193.24, 289.83 and 64.99 is: 97.47
Step by Step Solution
- Step 1: Write the proportion equation
193.24 : 289.83 = 64.99 : x - Step 2: Convert to fraction form
193.24/289.83 = 64.99/x - Step 3: Cross multiply
193.24x = 289.83 × 64.99 - Step 4: Simplify right side
193.24x = 18,836.05 - Step 5: Solve for x
x = 18,836.05/193.24 - Step 6: Final answer
x = 97.47
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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.