Finding the Fourth Proportional to 280.64, 420.67 and 164.99
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Solution
The fourth proportional to 280.64, 420.67 and 164.99 is: 247.31
Step by Step Solution
- Step 1: Write the proportion equation
280.64 : 420.67 = 164.99 : x - Step 2: Convert to fraction form
280.64/420.67 = 164.99/x - Step 3: Cross multiply
280.64x = 420.67 × 164.99 - Step 4: Simplify right side
280.64x = 69,405.93 - Step 5: Solve for x
x = 69,405.93/280.64 - Step 6: Final answer
x = 247.31
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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.