Finding the Fourth Proportional to 52.25, 78.38 and 14.25
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Solution
The fourth proportional to 52.25, 78.38 and 14.25 is: 21.38
Step by Step Solution
- Step 1: Write the proportion equation
52.25 : 78.38 = 14.25 : x - Step 2: Convert to fraction form
52.25/78.38 = 14.25/x - Step 3: Cross multiply
52.25x = 78.38 × 14.25 - Step 4: Simplify right side
52.25x = 1,116.84 - Step 5: Solve for x
x = 1,116.84/52.25 - Step 6: Final answer
x = 21.38
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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.