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Finding the Fourth Proportional to 139.60, 191.04 and 138.16

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Solution

The fourth proportional to 139.60, 191.04 and 138.16 is: 189.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.60 : 191.04 = 138.16 : x
  2. Step 2: Convert to fraction form
    139.60/191.04 = 138.16/x
  3. Step 3: Cross multiply
    139.60x = 191.04 × 138.16
  4. Step 4: Simplify right side
    139.60x = 26,394.09
  5. Step 5: Solve for x
    x = 26,394.09/139.60
  6. Step 6: Final answer
    x = 189.07

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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.