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Finding the Fourth Proportional to 150, 206.72 and 138.38

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Solution

The fourth proportional to 150, 206.72 and 138.38 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 206.72 = 138.38 : x
  2. Step 2: Convert to fraction form
    150/206.72 = 138.38/x
  3. Step 3: Cross multiply
    150x = 206.72 × 138.38
  4. Step 4: Simplify right side
    150x = 28,605.91
  5. Step 5: Solve for x
    x = 28,605.91/150
  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.