Finding the Fourth Proportional to 392.84, 589.11 and 161.67
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Solution
The fourth proportional to 392.84, 589.11 and 161.67 is: 242.45
Step by Step Solution
- Step 1: Write the proportion equation
392.84 : 589.11 = 161.67 : x - Step 2: Convert to fraction form
392.84/589.11 = 161.67/x - Step 3: Cross multiply
392.84x = 589.11 × 161.67 - Step 4: Simplify right side
392.84x = 95,241.41 - Step 5: Solve for x
x = 95,241.41/392.84 - Step 6: Final answer
x = 242.45
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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.