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Finding the Fourth Proportional to 189.14, 283.78 and 73.64

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Solution

The fourth proportional to 189.14, 283.78 and 73.64 is: 110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 283.78 = 73.64 : x
  2. Step 2: Convert to fraction form
    189.14/283.78 = 73.64/x
  3. Step 3: Cross multiply
    189.14x = 283.78 × 73.64
  4. Step 4: Simplify right side
    189.14x = 20,897.56
  5. Step 5: Solve for x
    x = 20,897.56/189.14
  6. Step 6: Final answer
    x = 110.49

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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.