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Finding the Fourth Proportional to 107.38, 148.90 and 105.40

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Solution

The fourth proportional to 107.38, 148.90 and 105.40 is: 146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.38 : 148.90 = 105.40 : x
  2. Step 2: Convert to fraction form
    107.38/148.90 = 105.40/x
  3. Step 3: Cross multiply
    107.38x = 148.90 × 105.40
  4. Step 4: Simplify right side
    107.38x = 15,694.06
  5. Step 5: Solve for x
    x = 15,694.06/107.38
  6. Step 6: Final answer
    x = 146.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.