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Finding the Fourth Proportional to 288.60, 398.28 and 164.28

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Solution

The fourth proportional to 288.60, 398.28 and 164.28 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.60 : 398.28 = 164.28 : x
  2. Step 2: Convert to fraction form
    288.60/398.28 = 164.28/x
  3. Step 3: Cross multiply
    288.60x = 398.28 × 164.28
  4. Step 4: Simplify right side
    288.60x = 65,429.44
  5. Step 5: Solve for x
    x = 65,429.44/288.60
  6. Step 6: Final answer
    x = 226.71

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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.