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Finding the Fourth Proportional to 139.24, 205.96 and 138.52

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Solution

The fourth proportional to 139.24, 205.96 and 138.52 is: 204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.24 : 205.96 = 138.52 : x
  2. Step 2: Convert to fraction form
    139.24/205.96 = 138.52/x
  3. Step 3: Cross multiply
    139.24x = 205.96 × 138.52
  4. Step 4: Simplify right side
    139.24x = 28,529.58
  5. Step 5: Solve for x
    x = 28,529.58/139.24
  6. Step 6: Final answer
    x = 204.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.