Finding the Fourth Proportional to 420.64, 580.44 and 246
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Solution
The fourth proportional to 420.64, 580.44 and 246 is: 339.45
Step by Step Solution
- Step 1: Write the proportion equation
420.64 : 580.44 = 246 : x - Step 2: Convert to fraction form
420.64/580.44 = 246/x - Step 3: Cross multiply
420.64x = 580.44 × 246 - Step 4: Simplify right side
420.64x = 142,788.24 - Step 5: Solve for x
x = 142,788.24/420.64 - Step 6: Final answer
x = 339.45
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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.