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Finding the Fourth Proportional to 288.48, 400.06 and 279.60

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Solution

The fourth proportional to 288.48, 400.06 and 279.60 is: 387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.48 : 400.06 = 279.60 : x
  2. Step 2: Convert to fraction form
    288.48/400.06 = 279.60/x
  3. Step 3: Cross multiply
    288.48x = 400.06 × 279.60
  4. Step 4: Simplify right side
    288.48x = 111,856.78
  5. Step 5: Solve for x
    x = 111,856.78/288.48
  6. Step 6: Final answer
    x = 387.75

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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.