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Finding the Fourth Proportional to 420.44, 629.10 and 255.29

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Solution

The fourth proportional to 420.44, 629.10 and 255.29 is: 381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 629.10 = 255.29 : x
  2. Step 2: Convert to fraction form
    420.44/629.10 = 255.29/x
  3. Step 3: Cross multiply
    420.44x = 629.10 × 255.29
  4. Step 4: Simplify right side
    420.44x = 160,599.79
  5. Step 5: Solve for x
    x = 160,599.79/420.44
  6. Step 6: Final answer
    x = 381.98

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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.