Finding the Fourth Proportional to 285.28, 427.77 and 147.99
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Solution
The fourth proportional to 285.28, 427.77 and 147.99 is: 221.91
Step by Step Solution
- Step 1: Write the proportion equation
285.28 : 427.77 = 147.99 : x - Step 2: Convert to fraction form
285.28/427.77 = 147.99/x - Step 3: Cross multiply
285.28x = 427.77 × 147.99 - Step 4: Simplify right side
285.28x = 63,305.68 - Step 5: Solve for x
x = 63,305.68/285.28 - Step 6: Final answer
x = 221.91
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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.