Finding the Fourth Proportional to 194.63, 292.14 and 133.74
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Solution
The fourth proportional to 194.63, 292.14 and 133.74 is: 200.75
Step by Step Solution
- Step 1: Write the proportion equation
194.63 : 292.14 = 133.74 : x - Step 2: Convert to fraction form
194.63/292.14 = 133.74/x - Step 3: Cross multiply
194.63x = 292.14 × 133.74 - Step 4: Simplify right side
194.63x = 39,070.80 - Step 5: Solve for x
x = 39,070.80/194.63 - Step 6: Final answer
x = 200.75
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.