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Finding the Fourth Proportional to 189.84, 262.04 and 111.20

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Solution

The fourth proportional to 189.84, 262.04 and 111.20 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 262.04 = 111.20 : x
  2. Step 2: Convert to fraction form
    189.84/262.04 = 111.20/x
  3. Step 3: Cross multiply
    189.84x = 262.04 × 111.20
  4. Step 4: Simplify right side
    189.84x = 29,138.85
  5. Step 5: Solve for x
    x = 29,138.85/189.84
  6. Step 6: Final answer
    x = 153.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.