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Finding the Fourth Proportional to 105.28, 144.68 and 102.40

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Solution

The fourth proportional to 105.28, 144.68 and 102.40 is: 140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.28 : 144.68 = 102.40 : x
  2. Step 2: Convert to fraction form
    105.28/144.68 = 102.40/x
  3. Step 3: Cross multiply
    105.28x = 144.68 × 102.40
  4. Step 4: Simplify right side
    105.28x = 14,815.23
  5. Step 5: Solve for x
    x = 14,815.23/105.28
  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.