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Finding the Fourth Proportional to 288.89, 398.67 and 164.56

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Solution

The fourth proportional to 288.89, 398.67 and 164.56 is: 227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.89 : 398.67 = 164.56 : x
  2. Step 2: Convert to fraction form
    288.89/398.67 = 164.56/x
  3. Step 3: Cross multiply
    288.89x = 398.67 × 164.56
  4. Step 4: Simplify right side
    288.89x = 65,604.14
  5. Step 5: Solve for x
    x = 65,604.14/288.89
  6. Step 6: Final answer
    x = 227.09

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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.