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Finding the Fourth Proportional to 205.84, 308.98 and 137.84

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Solution

The fourth proportional to 205.84, 308.98 and 137.84 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.84 : 308.98 = 137.84 : x
  2. Step 2: Convert to fraction form
    205.84/308.98 = 137.84/x
  3. Step 3: Cross multiply
    205.84x = 308.98 × 137.84
  4. Step 4: Simplify right side
    205.84x = 42,589.11
  5. Step 5: Solve for x
    x = 42,589.11/205.84
  6. Step 6: Final answer
    x = 206.90

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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.