Finding the Fourth Proportional to 193.41, 289.63 and 102.14
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Solution
The fourth proportional to 193.41, 289.63 and 102.14 is: 152.94
Step by Step Solution
- Step 1: Write the proportion equation
193.41 : 289.63 = 102.14 : x - Step 2: Convert to fraction form
193.41/289.63 = 102.14/x - Step 3: Cross multiply
193.41x = 289.63 × 102.14 - Step 4: Simplify right side
193.41x = 29,581.18 - Step 5: Solve for x
x = 29,581.18/193.41 - Step 6: Final answer
x = 152.94
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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.