Finding the Fourth Proportional to 438.08, 657.11 and 164.23
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Solution
The fourth proportional to 438.08, 657.11 and 164.23 is: 246.34
Step by Step Solution
- Step 1: Write the proportion equation
438.08 : 657.11 = 164.23 : x - Step 2: Convert to fraction form
438.08/657.11 = 164.23/x - Step 3: Cross multiply
438.08x = 657.11 × 164.23 - Step 4: Simplify right side
438.08x = 107,915.94 - Step 5: Solve for x
x = 107,915.94/438.08 - Step 6: Final answer
x = 246.34
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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.