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Finding the Fourth Proportional to 189.75, 283.39 and 179.22

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Solution

The fourth proportional to 189.75, 283.39 and 179.22 is: 267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 283.39 = 179.22 : x
  2. Step 2: Convert to fraction form
    189.75/283.39 = 179.22/x
  3. Step 3: Cross multiply
    189.75x = 283.39 × 179.22
  4. Step 4: Simplify right side
    189.75x = 50,789.16
  5. Step 5: Solve for x
    x = 50,789.16/189.75
  6. Step 6: Final answer
    x = 267.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.