Finding the Fourth Proportional to 420.80, 630.74 and 177.26
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Solution
The fourth proportional to 420.80, 630.74 and 177.26 is: 265.70
Step by Step Solution
- Step 1: Write the proportion equation
420.80 : 630.74 = 177.26 : x - Step 2: Convert to fraction form
420.80/630.74 = 177.26/x - Step 3: Cross multiply
420.80x = 630.74 × 177.26 - Step 4: Simplify right side
420.80x = 111,804.97 - Step 5: Solve for x
x = 111,804.97/420.80 - Step 6: Final answer
x = 265.70
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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.