Finding the Fourth Proportional to 430.64, 645.99 and 106.01
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Solution
The fourth proportional to 430.64, 645.99 and 106.01 is: 159.02
Step by Step Solution
- Step 1: Write the proportion equation
430.64 : 645.99 = 106.01 : x - Step 2: Convert to fraction form
430.64/645.99 = 106.01/x - Step 3: Cross multiply
430.64x = 645.99 × 106.01 - Step 4: Simplify right side
430.64x = 68,480.87 - Step 5: Solve for x
x = 68,480.87/430.64 - Step 6: Final answer
x = 159.02
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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.