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Finding the Fourth Proportional to 428.64, 642.61 and 168.59

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Solution

The fourth proportional to 428.64, 642.61 and 168.59 is: 252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.64 : 642.61 = 168.59 : x
  2. Step 2: Convert to fraction form
    428.64/642.61 = 168.59/x
  3. Step 3: Cross multiply
    428.64x = 642.61 × 168.59
  4. Step 4: Simplify right side
    428.64x = 108,339.44
  5. Step 5: Solve for x
    x = 108,339.44/428.64
  6. Step 6: Final answer
    x = 252.75

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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.