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Finding the Fourth Proportional to 420.44, 629.89 and 160.29

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Solution

The fourth proportional to 420.44, 629.89 and 160.29 is: 240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 629.89 = 160.29 : x
  2. Step 2: Convert to fraction form
    420.44/629.89 = 160.29/x
  3. Step 3: Cross multiply
    420.44x = 629.89 × 160.29
  4. Step 4: Simplify right side
    420.44x = 100,964.67
  5. Step 5: Solve for x
    x = 100,964.67/420.44
  6. Step 6: Final answer
    x = 240.14

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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.