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Finding the Fourth Proportional to 189.90, 284.78 and 112.84

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Solution

The fourth proportional to 189.90, 284.78 and 112.84 is: 169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 284.78 = 112.84 : x
  2. Step 2: Convert to fraction form
    189.90/284.78 = 112.84/x
  3. Step 3: Cross multiply
    189.90x = 284.78 × 112.84
  4. Step 4: Simplify right side
    189.90x = 32,134.15
  5. Step 5: Solve for x
    x = 32,134.15/189.90
  6. Step 6: Final answer
    x = 169.22

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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.