Finding the Fourth Proportional to 234.73, 351.84 and 97.70
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Solution
The fourth proportional to 234.73, 351.84 and 97.70 is: 146.44
Step by Step Solution
- Step 1: Write the proportion equation
234.73 : 351.84 = 97.70 : x - Step 2: Convert to fraction form
234.73/351.84 = 97.70/x - Step 3: Cross multiply
234.73x = 351.84 × 97.70 - Step 4: Simplify right side
234.73x = 34,374.77 - Step 5: Solve for x
x = 34,374.77/234.73 - Step 6: Final answer
x = 146.44
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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.