Finding the Fourth Proportional to 138.25, 207.35 and 97.55
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Solution
The fourth proportional to 138.25, 207.35 and 97.55 is: 146.31
Step by Step Solution
- Step 1: Write the proportion equation
138.25 : 207.35 = 97.55 : x - Step 2: Convert to fraction form
138.25/207.35 = 97.55/x - Step 3: Cross multiply
138.25x = 207.35 × 97.55 - Step 4: Simplify right side
138.25x = 20,226.99 - Step 5: Solve for x
x = 20,226.99/138.25 - Step 6: Final answer
x = 146.31
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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.