Finding the Fourth Proportional to 129.69, 178.95 and 77.26
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Solution
The fourth proportional to 129.69, 178.95 and 77.26 is: 106.60
Step by Step Solution
- Step 1: Write the proportion equation
129.69 : 178.95 = 77.26 : x - Step 2: Convert to fraction form
129.69/178.95 = 77.26/x - Step 3: Cross multiply
129.69x = 178.95 × 77.26 - Step 4: Simplify right side
129.69x = 13,825.23 - Step 5: Solve for x
x = 13,825.23/129.69 - Step 6: Final answer
x = 106.60
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.