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Finding the Fourth Proportional to 428.63, 642.06 and 222.82

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Solution

The fourth proportional to 428.63, 642.06 and 222.82 is: 333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 642.06 = 222.82 : x
  2. Step 2: Convert to fraction form
    428.63/642.06 = 222.82/x
  3. Step 3: Cross multiply
    428.63x = 642.06 × 222.82
  4. Step 4: Simplify right side
    428.63x = 143,062.20
  5. Step 5: Solve for x
    x = 143,062.20/428.63
  6. Step 6: Final answer
    x = 333.77

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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.