Finding the Fourth Proportional to 51.78, 78.04 and 48.99
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Solution
The fourth proportional to 51.78, 78.04 and 48.99 is: 73.84
Step by Step Solution
- Step 1: Write the proportion equation
51.78 : 78.04 = 48.99 : x - Step 2: Convert to fraction form
51.78/78.04 = 48.99/x - Step 3: Cross multiply
51.78x = 78.04 × 48.99 - Step 4: Simplify right side
51.78x = 3,823.18 - Step 5: Solve for x
x = 3,823.18/51.78 - Step 6: Final answer
x = 73.84
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.