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Finding the Fourth Proportional to 400.21, 600.81 and 381.74

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Solution

The fourth proportional to 400.21, 600.81 and 381.74 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.21 : 600.81 = 381.74 : x
  2. Step 2: Convert to fraction form
    400.21/600.81 = 381.74/x
  3. Step 3: Cross multiply
    400.21x = 600.81 × 381.74
  4. Step 4: Simplify right side
    400.21x = 229,353.21
  5. Step 5: Solve for x
    x = 229,353.21/400.21
  6. Step 6: Final answer
    x = 573.08

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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.