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Finding the Fourth Proportional to 105.27, 144.41 and 102.58

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Solution

The fourth proportional to 105.27, 144.41 and 102.58 is: 140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.27 : 144.41 = 102.58 : x
  2. Step 2: Convert to fraction form
    105.27/144.41 = 102.58/x
  3. Step 3: Cross multiply
    105.27x = 144.41 × 102.58
  4. Step 4: Simplify right side
    105.27x = 14,812.70
  5. Step 5: Solve for x
    x = 14,812.70/105.27
  6. Step 6: Final answer
    x = 140.72

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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.