Finding the Fourth Proportional to 420.98, 631.74 and 161.00
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Solution
The fourth proportional to 420.98, 631.74 and 161.00 is: 241.61
Step by Step Solution
- Step 1: Write the proportion equation
420.98 : 631.74 = 161.00 : x - Step 2: Convert to fraction form
420.98/631.74 = 161.00/x - Step 3: Cross multiply
420.98x = 631.74 × 161.00 - Step 4: Simplify right side
420.98x = 101,713.05 - Step 5: Solve for x
x = 101,713.05/420.98 - Step 6: Final answer
x = 241.61
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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.