Finding the Fourth Proportional to 421.93, 633.02 and 161.80
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Solution
The fourth proportional to 421.93, 633.02 and 161.80 is: 242.74
Step by Step Solution
- Step 1: Write the proportion equation
421.93 : 633.02 = 161.80 : x - Step 2: Convert to fraction form
421.93/633.02 = 161.80/x - Step 3: Cross multiply
421.93x = 633.02 × 161.80 - Step 4: Simplify right side
421.93x = 102,420.24 - Step 5: Solve for x
x = 102,420.24/421.93 - Step 6: Final answer
x = 242.74
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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.