Finding the Fourth Proportional to 284.84, 427.26 and 122.41
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Solution
The fourth proportional to 284.84, 427.26 and 122.41 is: 183.61
Step by Step Solution
- Step 1: Write the proportion equation
284.84 : 427.26 = 122.41 : x - Step 2: Convert to fraction form
284.84/427.26 = 122.41/x - Step 3: Cross multiply
284.84x = 427.26 × 122.41 - Step 4: Simplify right side
284.84x = 52,298.76 - Step 5: Solve for x
x = 52,298.76/284.84 - Step 6: Final answer
x = 183.61
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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.