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Finding the Fourth Proportional to 179.32, 268.83 and 107.03

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Solution

The fourth proportional to 179.32, 268.83 and 107.03 is: 160.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.32 : 268.83 = 107.03 : x
  2. Step 2: Convert to fraction form
    179.32/268.83 = 107.03/x
  3. Step 3: Cross multiply
    179.32x = 268.83 × 107.03
  4. Step 4: Simplify right side
    179.32x = 28,772.87
  5. Step 5: Solve for x
    x = 28,772.87/179.32
  6. Step 6: Final answer
    x = 160.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.