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Finding the Fourth Proportional to 429.34, 644.10 and 320.80

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Solution

The fourth proportional to 429.34, 644.10 and 320.80 is: 481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.34 : 644.10 = 320.80 : x
  2. Step 2: Convert to fraction form
    429.34/644.10 = 320.80/x
  3. Step 3: Cross multiply
    429.34x = 644.10 × 320.80
  4. Step 4: Simplify right side
    429.34x = 206,627.28
  5. Step 5: Solve for x
    x = 206,627.28/429.34
  6. Step 6: Final answer
    x = 481.27

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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.