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Finding the Fourth Proportional to 150.28, 207.14 and 138.36

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Solution

The fourth proportional to 150.28, 207.14 and 138.36 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.28 : 207.14 = 138.36 : x
  2. Step 2: Convert to fraction form
    150.28/207.14 = 138.36/x
  3. Step 3: Cross multiply
    150.28x = 207.14 × 138.36
  4. Step 4: Simplify right side
    150.28x = 28,659.89
  5. Step 5: Solve for x
    x = 28,659.89/150.28
  6. Step 6: Final answer
    x = 190.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.