Finding the Fourth Proportional to 313.80, 432.36 and 313.44
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Solution
The fourth proportional to 313.80, 432.36 and 313.44 is: 431.86
Step by Step Solution
- Step 1: Write the proportion equation
313.80 : 432.36 = 313.44 : x - Step 2: Convert to fraction form
313.80/432.36 = 313.44/x - Step 3: Cross multiply
313.80x = 432.36 × 313.44 - Step 4: Simplify right side
313.80x = 135,518.92 - Step 5: Solve for x
x = 135,518.92/313.80 - Step 6: Final answer
x = 431.86
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.