Finding the Fourth Proportional to 313.20, 432.09 and 202.68
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Solution
The fourth proportional to 313.20, 432.09 and 202.68 is: 279.62
Step by Step Solution
- Step 1: Write the proportion equation
313.20 : 432.09 = 202.68 : x - Step 2: Convert to fraction form
313.20/432.09 = 202.68/x - Step 3: Cross multiply
313.20x = 432.09 × 202.68 - Step 4: Simplify right side
313.20x = 87,576.00 - Step 5: Solve for x
x = 87,576.00/313.20 - Step 6: Final answer
x = 279.62
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.