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Finding the Fourth Proportional to 288.44, 400.03 and 270.62

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Solution

The fourth proportional to 288.44, 400.03 and 270.62 is: 375.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.44 : 400.03 = 270.62 : x
  2. Step 2: Convert to fraction form
    288.44/400.03 = 270.62/x
  3. Step 3: Cross multiply
    288.44x = 400.03 × 270.62
  4. Step 4: Simplify right side
    288.44x = 108,256.12
  5. Step 5: Solve for x
    x = 108,256.12/288.44
  6. Step 6: Final answer
    x = 375.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.