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Finding the Fourth Proportional to 139.28, 193.23 and 138.08

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Solution

The fourth proportional to 139.28, 193.23 and 138.08 is: 191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.28 : 193.23 = 138.08 : x
  2. Step 2: Convert to fraction form
    139.28/193.23 = 138.08/x
  3. Step 3: Cross multiply
    139.28x = 193.23 × 138.08
  4. Step 4: Simplify right side
    139.28x = 26,681.20
  5. Step 5: Solve for x
    x = 26,681.20/139.28
  6. Step 6: Final answer
    x = 191.57

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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.