Finding the Fourth Proportional to 129.78, 193.73 and 106.70
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Solution
The fourth proportional to 129.78, 193.73 and 106.70 is: 159.28
Step by Step Solution
- Step 1: Write the proportion equation
129.78 : 193.73 = 106.70 : x - Step 2: Convert to fraction form
129.78/193.73 = 106.70/x - Step 3: Cross multiply
129.78x = 193.73 × 106.70 - Step 4: Simplify right side
129.78x = 20,670.99 - Step 5: Solve for x
x = 20,670.99/129.78 - Step 6: Final answer
x = 159.28
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.