Finding the Fourth Proportional to 171.21, 256.48 and 106.06
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Solution
The fourth proportional to 171.21, 256.48 and 106.06 is: 158.88
Step by Step Solution
- Step 1: Write the proportion equation
171.21 : 256.48 = 106.06 : x - Step 2: Convert to fraction form
171.21/256.48 = 106.06/x - Step 3: Cross multiply
171.21x = 256.48 × 106.06 - Step 4: Simplify right side
171.21x = 27,201.99 - Step 5: Solve for x
x = 27,201.99/171.21 - Step 6: Final answer
x = 158.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.