Finding the Fourth Proportional to 261.95, 393.08 and 107.84
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Solution
The fourth proportional to 261.95, 393.08 and 107.84 is: 161.83
Step by Step Solution
- Step 1: Write the proportion equation
261.95 : 393.08 = 107.84 : x - Step 2: Convert to fraction form
261.95/393.08 = 107.84/x - Step 3: Cross multiply
261.95x = 393.08 × 107.84 - Step 4: Simplify right side
261.95x = 42,390.19 - Step 5: Solve for x
x = 42,390.19/261.95 - Step 6: Final answer
x = 161.83
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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.