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Finding the Fourth Proportional to 137.65, 206.51 and 79.92

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Solution

The fourth proportional to 137.65, 206.51 and 79.92 is: 119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 206.51 = 79.92 : x
  2. Step 2: Convert to fraction form
    137.65/206.51 = 79.92/x
  3. Step 3: Cross multiply
    137.65x = 206.51 × 79.92
  4. Step 4: Simplify right side
    137.65x = 16,504.85
  5. Step 5: Solve for x
    x = 16,504.85/137.65
  6. Step 6: Final answer
    x = 119.90

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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.