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Finding the Fourth Proportional to 195.88, 294.06 and 139.24

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Solution

The fourth proportional to 195.88, 294.06 and 139.24 is: 209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.88 : 294.06 = 139.24 : x
  2. Step 2: Convert to fraction form
    195.88/294.06 = 139.24/x
  3. Step 3: Cross multiply
    195.88x = 294.06 × 139.24
  4. Step 4: Simplify right side
    195.88x = 40,944.91
  5. Step 5: Solve for x
    x = 40,944.91/195.88
  6. Step 6: Final answer
    x = 209.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.