Finding the Fourth Proportional to 122.99, 184.75 and 74.30
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Solution
The fourth proportional to 122.99, 184.75 and 74.30 is: 111.61
Step by Step Solution
- Step 1: Write the proportion equation
122.99 : 184.75 = 74.30 : x - Step 2: Convert to fraction form
122.99/184.75 = 74.30/x - Step 3: Cross multiply
122.99x = 184.75 × 74.30 - Step 4: Simplify right side
122.99x = 13,726.93 - Step 5: Solve for x
x = 13,726.93/122.99 - Step 6: Final answer
x = 111.61
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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.