Finding the Fourth Proportional to 51.33, 76.86 and 32.05
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Solution
The fourth proportional to 51.33, 76.86 and 32.05 is: 47.99
Step by Step Solution
- Step 1: Write the proportion equation
51.33 : 76.86 = 32.05 : x - Step 2: Convert to fraction form
51.33/76.86 = 32.05/x - Step 3: Cross multiply
51.33x = 76.86 × 32.05 - Step 4: Simplify right side
51.33x = 2,463.36 - Step 5: Solve for x
x = 2,463.36/51.33 - Step 6: Final answer
x = 47.99
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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.