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Finding the Fourth Proportional to 428.26, 642.43 and 120.11

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Solution

The fourth proportional to 428.26, 642.43 and 120.11 is: 180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.26 : 642.43 = 120.11 : x
  2. Step 2: Convert to fraction form
    428.26/642.43 = 120.11/x
  3. Step 3: Cross multiply
    428.26x = 642.43 × 120.11
  4. Step 4: Simplify right side
    428.26x = 77,161.67
  5. Step 5: Solve for x
    x = 77,161.67/428.26
  6. Step 6: Final answer
    x = 180.18

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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.