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Finding the Fourth Proportional to 150.65, 225.05 and 120.27

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Solution

The fourth proportional to 150.65, 225.05 and 120.27 is: 179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 225.05 = 120.27 : x
  2. Step 2: Convert to fraction form
    150.65/225.05 = 120.27/x
  3. Step 3: Cross multiply
    150.65x = 225.05 × 120.27
  4. Step 4: Simplify right side
    150.65x = 27,066.76
  5. Step 5: Solve for x
    x = 27,066.76/150.65
  6. Step 6: Final answer
    x = 179.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.