Finding the Fourth Proportional to 138.28, 207.19 and 97.63
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Solution
The fourth proportional to 138.28, 207.19 and 97.63 is: 146.28
Step by Step Solution
- Step 1: Write the proportion equation
138.28 : 207.19 = 97.63 : x - Step 2: Convert to fraction form
138.28/207.19 = 97.63/x - Step 3: Cross multiply
138.28x = 207.19 × 97.63 - Step 4: Simplify right side
138.28x = 20,227.96 - Step 5: Solve for x
x = 20,227.96/138.28 - Step 6: Final answer
x = 146.28
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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.