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Finding the Fourth Proportional to 428.12, 642.36 and 222.84

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Solution

The fourth proportional to 428.12, 642.36 and 222.84 is: 334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 642.36 = 222.84 : x
  2. Step 2: Convert to fraction form
    428.12/642.36 = 222.84/x
  3. Step 3: Cross multiply
    428.12x = 642.36 × 222.84
  4. Step 4: Simplify right side
    428.12x = 143,143.50
  5. Step 5: Solve for x
    x = 143,143.50/428.12
  6. Step 6: Final answer
    x = 334.35

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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.