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Finding the Fourth Proportional to 105.20, 144.35 and 103.38

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Solution

The fourth proportional to 105.20, 144.35 and 103.38 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.20 : 144.35 = 103.38 : x
  2. Step 2: Convert to fraction form
    105.20/144.35 = 103.38/x
  3. Step 3: Cross multiply
    105.20x = 144.35 × 103.38
  4. Step 4: Simplify right side
    105.20x = 14,923.16
  5. Step 5: Solve for x
    x = 14,923.16/105.20
  6. Step 6: Final answer
    x = 141.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.