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Finding the Fourth Proportional to 166.78, 229.62 and 142.12

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Solution

The fourth proportional to 166.78, 229.62 and 142.12 is: 195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 229.62 = 142.12 : x
  2. Step 2: Convert to fraction form
    166.78/229.62 = 142.12/x
  3. Step 3: Cross multiply
    166.78x = 229.62 × 142.12
  4. Step 4: Simplify right side
    166.78x = 32,633.59
  5. Step 5: Solve for x
    x = 32,633.59/166.78
  6. Step 6: Final answer
    x = 195.67

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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.