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Finding the Fourth Proportional to 288.63, 398.25 and 164.31

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Solution

The fourth proportional to 288.63, 398.25 and 164.31 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.63 : 398.25 = 164.31 : x
  2. Step 2: Convert to fraction form
    288.63/398.25 = 164.31/x
  3. Step 3: Cross multiply
    288.63x = 398.25 × 164.31
  4. Step 4: Simplify right side
    288.63x = 65,436.46
  5. Step 5: Solve for x
    x = 65,436.46/288.63
  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.