Finding the Fourth Proportional to 284.99, 427.21 and 278.24
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Solution
The fourth proportional to 284.99, 427.21 and 278.24 is: 417.09
Step by Step Solution
- Step 1: Write the proportion equation
284.99 : 427.21 = 278.24 : x - Step 2: Convert to fraction form
284.99/427.21 = 278.24/x - Step 3: Cross multiply
284.99x = 427.21 × 278.24 - Step 4: Simplify right side
284.99x = 118,864.08 - Step 5: Solve for x
x = 118,864.08/284.99 - Step 6: Final answer
x = 417.09
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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.