Finding the Fourth Proportional to 260.19, 359.08 and 149.69
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Solution
The fourth proportional to 260.19, 359.08 and 149.69 is: 206.58
Step by Step Solution
- Step 1: Write the proportion equation
260.19 : 359.08 = 149.69 : x - Step 2: Convert to fraction form
260.19/359.08 = 149.69/x - Step 3: Cross multiply
260.19x = 359.08 × 149.69 - Step 4: Simplify right side
260.19x = 53,751.21 - Step 5: Solve for x
x = 53,751.21/260.19 - Step 6: Final answer
x = 206.58
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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.