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Finding the Fourth Proportional to 150.69, 225.54 and 137.20

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Solution

The fourth proportional to 150.69, 225.54 and 137.20 is: 205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 225.54 = 137.20 : x
  2. Step 2: Convert to fraction form
    150.69/225.54 = 137.20/x
  3. Step 3: Cross multiply
    150.69x = 225.54 × 137.20
  4. Step 4: Simplify right side
    150.69x = 30,942.27
  5. Step 5: Solve for x
    x = 30,942.27/150.69
  6. Step 6: Final answer
    x = 205.34

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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.