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Finding the Fourth Proportional to 400.90, 601.42 and 126.94

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Solution

The fourth proportional to 400.90, 601.42 and 126.94 is: 190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.90 : 601.42 = 126.94 : x
  2. Step 2: Convert to fraction form
    400.90/601.42 = 126.94/x
  3. Step 3: Cross multiply
    400.90x = 601.42 × 126.94
  4. Step 4: Simplify right side
    400.90x = 76,344.25
  5. Step 5: Solve for x
    x = 76,344.25/400.90
  6. Step 6: Final answer
    x = 190.43

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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.