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Finding the Fourth Proportional to 154.49, 231.32 and 111.20

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Solution

The fourth proportional to 154.49, 231.32 and 111.20 is: 166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.49 : 231.32 = 111.20 : x
  2. Step 2: Convert to fraction form
    154.49/231.32 = 111.20/x
  3. Step 3: Cross multiply
    154.49x = 231.32 × 111.20
  4. Step 4: Simplify right side
    154.49x = 25,722.23
  5. Step 5: Solve for x
    x = 25,722.23/154.49
  6. Step 6: Final answer
    x = 166.50

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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.