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Finding the Fourth Proportional to 189, 283.50 and 75

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Solution

The fourth proportional to 189, 283.50 and 75 is: 112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 283.50 = 75 : x
  2. Step 2: Convert to fraction form
    189/283.50 = 75/x
  3. Step 3: Cross multiply
    189x = 283.50 × 75
  4. Step 4: Simplify right side
    189x = 21,262.50
  5. Step 5: Solve for x
    x = 21,262.50/189
  6. Step 6: Final answer
    x = 112.50

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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.