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Finding the Fourth Proportional to 150.21, 225.06 and 127.38

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Solution

The fourth proportional to 150.21, 225.06 and 127.38 is: 190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.21 : 225.06 = 127.38 : x
  2. Step 2: Convert to fraction form
    150.21/225.06 = 127.38/x
  3. Step 3: Cross multiply
    150.21x = 225.06 × 127.38
  4. Step 4: Simplify right side
    150.21x = 28,668.14
  5. Step 5: Solve for x
    x = 28,668.14/150.21
  6. Step 6: Final answer
    x = 190.85

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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.