Finding the Fourth Proportional to 260.26, 390.24 and 97.84
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Solution
The fourth proportional to 260.26, 390.24 and 97.84 is: 146.70
Step by Step Solution
- Step 1: Write the proportion equation
260.26 : 390.24 = 97.84 : x - Step 2: Convert to fraction form
260.26/390.24 = 97.84/x - Step 3: Cross multiply
260.26x = 390.24 × 97.84 - Step 4: Simplify right side
260.26x = 38,181.08 - Step 5: Solve for x
x = 38,181.08/260.26 - Step 6: Final answer
x = 146.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.