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Finding the Fourth Proportional to 429.72, 644.81 and 213.27

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Solution

The fourth proportional to 429.72, 644.81 and 213.27 is: 320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.72 : 644.81 = 213.27 : x
  2. Step 2: Convert to fraction form
    429.72/644.81 = 213.27/x
  3. Step 3: Cross multiply
    429.72x = 644.81 × 213.27
  4. Step 4: Simplify right side
    429.72x = 137,517.56
  5. Step 5: Solve for x
    x = 137,517.56/429.72
  6. Step 6: Final answer
    x = 320.02

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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.