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Finding the Fourth Proportional to 247.20, 340.83 and 164.49

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Solution

The fourth proportional to 247.20, 340.83 and 164.49 is: 226.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.20 : 340.83 = 164.49 : x
  2. Step 2: Convert to fraction form
    247.20/340.83 = 164.49/x
  3. Step 3: Cross multiply
    247.20x = 340.83 × 164.49
  4. Step 4: Simplify right side
    247.20x = 56,063.13
  5. Step 5: Solve for x
    x = 56,063.13/247.20
  6. Step 6: Final answer
    x = 226.79

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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.