Finding the Fourth Proportional to 430.73, 646 and 170.66
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Solution
The fourth proportional to 430.73, 646 and 170.66 is: 255.95
Step by Step Solution
- Step 1: Write the proportion equation
430.73 : 646 = 170.66 : x - Step 2: Convert to fraction form
430.73/646 = 170.66/x - Step 3: Cross multiply
430.73x = 646 × 170.66 - Step 4: Simplify right side
430.73x = 110,246.36 - Step 5: Solve for x
x = 110,246.36/430.73 - Step 6: Final answer
x = 255.95
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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.