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Finding the Fourth Proportional to 288.20, 399.54 and 272.61

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Solution

The fourth proportional to 288.20, 399.54 and 272.61 is: 377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.20 : 399.54 = 272.61 : x
  2. Step 2: Convert to fraction form
    288.20/399.54 = 272.61/x
  3. Step 3: Cross multiply
    288.20x = 399.54 × 272.61
  4. Step 4: Simplify right side
    288.20x = 108,918.60
  5. Step 5: Solve for x
    x = 108,918.60/288.20
  6. Step 6: Final answer
    x = 377.92

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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.