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Finding the Fourth Proportional to 137.92, 206.79 and 46.59

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Solution

The fourth proportional to 137.92, 206.79 and 46.59 is: 69.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 206.79 = 46.59 : x
  2. Step 2: Convert to fraction form
    137.92/206.79 = 46.59/x
  3. Step 3: Cross multiply
    137.92x = 206.79 × 46.59
  4. Step 4: Simplify right side
    137.92x = 9,634.35
  5. Step 5: Solve for x
    x = 9,634.35/137.92
  6. Step 6: Final answer
    x = 69.85

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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.