Finding the Fourth Proportional to 420.91, 631.44 and 189.75
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Solution
The fourth proportional to 420.91, 631.44 and 189.75 is: 284.66
Step by Step Solution
- Step 1: Write the proportion equation
420.91 : 631.44 = 189.75 : x - Step 2: Convert to fraction form
420.91/631.44 = 189.75/x - Step 3: Cross multiply
420.91x = 631.44 × 189.75 - Step 4: Simplify right side
420.91x = 119,815.74 - Step 5: Solve for x
x = 119,815.74/420.91 - Step 6: Final answer
x = 284.66
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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.