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Finding the Fourth Proportional to 137.27, 205.70 and 106.69

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Solution

The fourth proportional to 137.27, 205.70 and 106.69 is: 159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.27 : 205.70 = 106.69 : x
  2. Step 2: Convert to fraction form
    137.27/205.70 = 106.69/x
  3. Step 3: Cross multiply
    137.27x = 205.70 × 106.69
  4. Step 4: Simplify right side
    137.27x = 21,946.13
  5. Step 5: Solve for x
    x = 21,946.13/137.27
  6. Step 6: Final answer
    x = 159.88

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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.