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Finding the Fourth Proportional to 189.10, 260.85 and 142.49

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Solution

The fourth proportional to 189.10, 260.85 and 142.49 is: 196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.10 : 260.85 = 142.49 : x
  2. Step 2: Convert to fraction form
    189.10/260.85 = 142.49/x
  3. Step 3: Cross multiply
    189.10x = 260.85 × 142.49
  4. Step 4: Simplify right side
    189.10x = 37,169.70
  5. Step 5: Solve for x
    x = 37,169.70/189.10
  6. Step 6: Final answer
    x = 196.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.