Finding the Fourth Proportional to 195.23, 292.88 and 97.79
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Solution
The fourth proportional to 195.23, 292.88 and 97.79 is: 146.71
Step by Step Solution
- Step 1: Write the proportion equation
195.23 : 292.88 = 97.79 : x - Step 2: Convert to fraction form
195.23/292.88 = 97.79/x - Step 3: Cross multiply
195.23x = 292.88 × 97.79 - Step 4: Simplify right side
195.23x = 28,641.71 - Step 5: Solve for x
x = 28,641.71/195.23 - Step 6: Final answer
x = 146.71
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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.