Finding the Fourth Proportional to 195.23, 292.95 and 97.75
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Solution
The fourth proportional to 195.23, 292.95 and 97.75 is: 146.67
Step by Step Solution
- Step 1: Write the proportion equation
195.23 : 292.95 = 97.75 : x - Step 2: Convert to fraction form
195.23/292.95 = 97.75/x - Step 3: Cross multiply
195.23x = 292.95 × 97.75 - Step 4: Simplify right side
195.23x = 28,633.91 - Step 5: Solve for x
x = 28,633.91/195.23 - Step 6: Final answer
x = 146.67
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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.