Finding the Fourth Proportional to 261.26, 392.08 and 192.96
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Solution
The fourth proportional to 261.26, 392.08 and 192.96 is: 289.58
Step by Step Solution
- Step 1: Write the proportion equation
261.26 : 392.08 = 192.96 : x - Step 2: Convert to fraction form
261.26/392.08 = 192.96/x - Step 3: Cross multiply
261.26x = 392.08 × 192.96 - Step 4: Simplify right side
261.26x = 75,655.76 - Step 5: Solve for x
x = 75,655.76/261.26 - Step 6: Final answer
x = 289.58
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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.