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Finding the Fourth Proportional to 154.77, 231.09 and 150.67

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Solution

The fourth proportional to 154.77, 231.09 and 150.67 is: 224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.77 : 231.09 = 150.67 : x
  2. Step 2: Convert to fraction form
    154.77/231.09 = 150.67/x
  3. Step 3: Cross multiply
    154.77x = 231.09 × 150.67
  4. Step 4: Simplify right side
    154.77x = 34,816.75
  5. Step 5: Solve for x
    x = 34,816.75/154.77
  6. Step 6: Final answer
    x = 224.96

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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.