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Finding the Fourth Proportional to 400.44, 552.30 and 276.31

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Solution

The fourth proportional to 400.44, 552.30 and 276.31 is: 381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.44 : 552.30 = 276.31 : x
  2. Step 2: Convert to fraction form
    400.44/552.30 = 276.31/x
  3. Step 3: Cross multiply
    400.44x = 552.30 × 276.31
  4. Step 4: Simplify right side
    400.44x = 152,603.25
  5. Step 5: Solve for x
    x = 152,603.25/400.44
  6. Step 6: Final answer
    x = 381.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.