Finding the Fourth Proportional to 420.60, 630.84 and 177.18
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Solution
The fourth proportional to 420.60, 630.84 and 177.18 is: 265.74
Step by Step Solution
- Step 1: Write the proportion equation
420.60 : 630.84 = 177.18 : x - Step 2: Convert to fraction form
420.60/630.84 = 177.18/x - Step 3: Cross multiply
420.60x = 630.84 × 177.18 - Step 4: Simplify right side
420.60x = 111,772.23 - Step 5: Solve for x
x = 111,772.23/420.60 - Step 6: Final answer
x = 265.74
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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.