Finding the Fourth Proportional to 421.23, 632.08 and 177.75
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Solution
The fourth proportional to 421.23, 632.08 and 177.75 is: 266.72
Step by Step Solution
- Step 1: Write the proportion equation
421.23 : 632.08 = 177.75 : x - Step 2: Convert to fraction form
421.23/632.08 = 177.75/x - Step 3: Cross multiply
421.23x = 632.08 × 177.75 - Step 4: Simplify right side
421.23x = 112,351.78 - Step 5: Solve for x
x = 112,351.78/421.23 - Step 6: Final answer
x = 266.72
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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.