Finding the Fourth Proportional to 438.26, 656.99 and 164.53
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Solution
The fourth proportional to 438.26, 656.99 and 164.53 is: 246.65
Step by Step Solution
- Step 1: Write the proportion equation
438.26 : 656.99 = 164.53 : x - Step 2: Convert to fraction form
438.26/656.99 = 164.53/x - Step 3: Cross multiply
438.26x = 656.99 × 164.53 - Step 4: Simplify right side
438.26x = 108,095.80 - Step 5: Solve for x
x = 108,095.80/438.26 - Step 6: Final answer
x = 246.65
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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.