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Finding the Fourth Proportional to 189.92, 284.37 and 178.68

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Solution

The fourth proportional to 189.92, 284.37 and 178.68 is: 267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.92 : 284.37 = 178.68 : x
  2. Step 2: Convert to fraction form
    189.92/284.37 = 178.68/x
  3. Step 3: Cross multiply
    189.92x = 284.37 × 178.68
  4. Step 4: Simplify right side
    189.92x = 50,811.23
  5. Step 5: Solve for x
    x = 50,811.23/189.92
  6. Step 6: Final answer
    x = 267.54

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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.