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Finding the Fourth Proportional to 288.10, 400.29 and 285.27

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Solution

The fourth proportional to 288.10, 400.29 and 285.27 is: 396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 400.29 = 285.27 : x
  2. Step 2: Convert to fraction form
    288.10/400.29 = 285.27/x
  3. Step 3: Cross multiply
    288.10x = 400.29 × 285.27
  4. Step 4: Simplify right side
    288.10x = 114,190.73
  5. Step 5: Solve for x
    x = 114,190.73/288.10
  6. Step 6: Final answer
    x = 396.36

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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.