Finding the Fourth Proportional to 195.42, 292.99 and 67.14
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Solution
The fourth proportional to 195.42, 292.99 and 67.14 is: 100.66
Step by Step Solution
- Step 1: Write the proportion equation
195.42 : 292.99 = 67.14 : x - Step 2: Convert to fraction form
195.42/292.99 = 67.14/x - Step 3: Cross multiply
195.42x = 292.99 × 67.14 - Step 4: Simplify right side
195.42x = 19,671.35 - Step 5: Solve for x
x = 19,671.35/195.42 - Step 6: Final answer
x = 100.66
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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.