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Finding the Fourth Proportional to 400.42, 603.41 and 381.88

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Solution

The fourth proportional to 400.42, 603.41 and 381.88 is: 575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.42 : 603.41 = 381.88 : x
  2. Step 2: Convert to fraction form
    400.42/603.41 = 381.88/x
  3. Step 3: Cross multiply
    400.42x = 603.41 × 381.88
  4. Step 4: Simplify right side
    400.42x = 230,430.21
  5. Step 5: Solve for x
    x = 230,430.21/400.42
  6. Step 6: Final answer
    x = 575.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.