Finding the Fourth Proportional to 140.24, 210.41 and 59.09
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Solution
The fourth proportional to 140.24, 210.41 and 59.09 is: 88.65
Step by Step Solution
- Step 1: Write the proportion equation
140.24 : 210.41 = 59.09 : x - Step 2: Convert to fraction form
140.24/210.41 = 59.09/x - Step 3: Cross multiply
140.24x = 210.41 × 59.09 - Step 4: Simplify right side
140.24x = 12,432.93 - Step 5: Solve for x
x = 12,432.93/140.24 - Step 6: Final answer
x = 88.65
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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.