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Finding the Fourth Proportional to 288.50, 398.16 and 164.20

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Solution

The fourth proportional to 288.50, 398.16 and 164.20 is: 226.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.50 : 398.16 = 164.20 : x
  2. Step 2: Convert to fraction form
    288.50/398.16 = 164.20/x
  3. Step 3: Cross multiply
    288.50x = 398.16 × 164.20
  4. Step 4: Simplify right side
    288.50x = 65,378.28
  5. Step 5: Solve for x
    x = 65,378.28/288.50
  6. Step 6: Final answer
    x = 226.61

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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.