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Finding the Fourth Proportional to 166.78, 230.04 and 111.49

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Solution

The fourth proportional to 166.78, 230.04 and 111.49 is: 153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 230.04 = 111.49 : x
  2. Step 2: Convert to fraction form
    166.78/230.04 = 111.49/x
  3. Step 3: Cross multiply
    166.78x = 230.04 × 111.49
  4. Step 4: Simplify right side
    166.78x = 25,647.16
  5. Step 5: Solve for x
    x = 25,647.16/166.78
  6. Step 6: Final answer
    x = 153.78

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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.