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Finding the Fourth Proportional to 139.16, 191.49 and 106.40

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Solution

The fourth proportional to 139.16, 191.49 and 106.40 is: 146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.16 : 191.49 = 106.40 : x
  2. Step 2: Convert to fraction form
    139.16/191.49 = 106.40/x
  3. Step 3: Cross multiply
    139.16x = 191.49 × 106.40
  4. Step 4: Simplify right side
    139.16x = 20,374.54
  5. Step 5: Solve for x
    x = 20,374.54/139.16
  6. Step 6: Final answer
    x = 146.41

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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.