Finding the Fourth Proportional to 421.26, 631.44 and 177.42
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Solution
The fourth proportional to 421.26, 631.44 and 177.42 is: 265.94
Step by Step Solution
- Step 1: Write the proportion equation
421.26 : 631.44 = 177.42 : x - Step 2: Convert to fraction form
421.26/631.44 = 177.42/x - Step 3: Cross multiply
421.26x = 631.44 × 177.42 - Step 4: Simplify right side
421.26x = 112,030.08 - Step 5: Solve for x
x = 112,030.08/421.26 - Step 6: Final answer
x = 265.94
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.