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Finding the Fourth Proportional to 179.23, 269.83 and 164.35

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Solution

The fourth proportional to 179.23, 269.83 and 164.35 is: 247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.23 : 269.83 = 164.35 : x
  2. Step 2: Convert to fraction form
    179.23/269.83 = 164.35/x
  3. Step 3: Cross multiply
    179.23x = 269.83 × 164.35
  4. Step 4: Simplify right side
    179.23x = 44,346.56
  5. Step 5: Solve for x
    x = 44,346.56/179.23
  6. Step 6: Final answer
    x = 247.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.