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Finding the Fourth Proportional to 189.43, 283.90 and 102.81

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Solution

The fourth proportional to 189.43, 283.90 and 102.81 is: 154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.43 : 283.90 = 102.81 : x
  2. Step 2: Convert to fraction form
    189.43/283.90 = 102.81/x
  3. Step 3: Cross multiply
    189.43x = 283.90 × 102.81
  4. Step 4: Simplify right side
    189.43x = 29,187.76
  5. Step 5: Solve for x
    x = 29,187.76/189.43
  6. Step 6: Final answer
    x = 154.08

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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.