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Finding the Fourth Proportional to 137.28, 206.09 and 110.42

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Solution

The fourth proportional to 137.28, 206.09 and 110.42 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.28 : 206.09 = 110.42 : x
  2. Step 2: Convert to fraction form
    137.28/206.09 = 110.42/x
  3. Step 3: Cross multiply
    137.28x = 206.09 × 110.42
  4. Step 4: Simplify right side
    137.28x = 22,756.46
  5. Step 5: Solve for x
    x = 22,756.46/137.28
  6. Step 6: Final answer
    x = 165.77

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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.