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Finding the Fourth Proportional to 189.89, 283.47 and 169.38

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Solution

The fourth proportional to 189.89, 283.47 and 169.38 is: 252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.89 : 283.47 = 169.38 : x
  2. Step 2: Convert to fraction form
    189.89/283.47 = 169.38/x
  3. Step 3: Cross multiply
    189.89x = 283.47 × 169.38
  4. Step 4: Simplify right side
    189.89x = 48,014.15
  5. Step 5: Solve for x
    x = 48,014.15/189.89
  6. Step 6: Final answer
    x = 252.86

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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.