Finding the Fourth Proportional to 260.19, 359.02 and 149.70
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Solution
The fourth proportional to 260.19, 359.02 and 149.70 is: 206.56
Step by Step Solution
- Step 1: Write the proportion equation
260.19 : 359.02 = 149.70 : x - Step 2: Convert to fraction form
260.19/359.02 = 149.70/x - Step 3: Cross multiply
260.19x = 359.02 × 149.70 - Step 4: Simplify right side
260.19x = 53,745.29 - Step 5: Solve for x
x = 53,745.29/260.19 - Step 6: Final answer
x = 206.56
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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.