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Finding the Fourth Proportional to 199.50, 298.84 and 138.76

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Solution

The fourth proportional to 199.50, 298.84 and 138.76 is: 207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 298.84 = 138.76 : x
  2. Step 2: Convert to fraction form
    199.50/298.84 = 138.76/x
  3. Step 3: Cross multiply
    199.50x = 298.84 × 138.76
  4. Step 4: Simplify right side
    199.50x = 41,467.04
  5. Step 5: Solve for x
    x = 41,467.04/199.50
  6. Step 6: Final answer
    x = 207.85

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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.