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Finding the Fourth Proportional to 179.26, 247.32 and 109.28

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Solution

The fourth proportional to 179.26, 247.32 and 109.28 is: 150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.26 : 247.32 = 109.28 : x
  2. Step 2: Convert to fraction form
    179.26/247.32 = 109.28/x
  3. Step 3: Cross multiply
    179.26x = 247.32 × 109.28
  4. Step 4: Simplify right side
    179.26x = 27,027.75
  5. Step 5: Solve for x
    x = 27,027.75/179.26
  6. Step 6: Final answer
    x = 150.78

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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.