Finding the Fourth Proportional to 180.44, 249 and 106.76
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Solution
The fourth proportional to 180.44, 249 and 106.76 is: 147.32
Step by Step Solution
- Step 1: Write the proportion equation
180.44 : 249 = 106.76 : x - Step 2: Convert to fraction form
180.44/249 = 106.76/x - Step 3: Cross multiply
180.44x = 249 × 106.76 - Step 4: Simplify right side
180.44x = 26,583.24 - Step 5: Solve for x
x = 26,583.24/180.44 - Step 6: Final answer
x = 147.32
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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.