Finding the Fourth Proportional to 76.34, 114.21 and 55.99
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Solution
The fourth proportional to 76.34, 114.21 and 55.99 is: 83.76
Step by Step Solution
- Step 1: Write the proportion equation
76.34 : 114.21 = 55.99 : x - Step 2: Convert to fraction form
76.34/114.21 = 55.99/x - Step 3: Cross multiply
76.34x = 114.21 × 55.99 - Step 4: Simplify right side
76.34x = 6,394.76 - Step 5: Solve for x
x = 6,394.76/76.34 - Step 6: Final answer
x = 83.76
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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.