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Finding the Fourth Proportional to 428.94, 644.22 and 267.75

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Solution

The fourth proportional to 428.94, 644.22 and 267.75 is: 402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.94 : 644.22 = 267.75 : x
  2. Step 2: Convert to fraction form
    428.94/644.22 = 267.75/x
  3. Step 3: Cross multiply
    428.94x = 644.22 × 267.75
  4. Step 4: Simplify right side
    428.94x = 172,489.91
  5. Step 5: Solve for x
    x = 172,489.91/428.94
  6. Step 6: Final answer
    x = 402.13

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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.