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Finding the Fourth Proportional to 137.75, 206.67 and 79.93

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Solution

The fourth proportional to 137.75, 206.67 and 79.93 is: 119.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.75 : 206.67 = 79.93 : x
  2. Step 2: Convert to fraction form
    137.75/206.67 = 79.93/x
  3. Step 3: Cross multiply
    137.75x = 206.67 × 79.93
  4. Step 4: Simplify right side
    137.75x = 16,519.13
  5. Step 5: Solve for x
    x = 16,519.13/137.75
  6. Step 6: Final answer
    x = 119.92

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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.