Finding the Fourth Proportional to 446.30, 616 and 278.36
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Solution
The fourth proportional to 446.30, 616 and 278.36 is: 384.20
Step by Step Solution
- Step 1: Write the proportion equation
446.30 : 616 = 278.36 : x - Step 2: Convert to fraction form
446.30/616 = 278.36/x - Step 3: Cross multiply
446.30x = 616 × 278.36 - Step 4: Simplify right side
446.30x = 171,469.76 - Step 5: Solve for x
x = 171,469.76/446.30 - Step 6: Final answer
x = 384.20
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.