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Finding the Fourth Proportional to 166.21, 229.41 and 100.69

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Solution

The fourth proportional to 166.21, 229.41 and 100.69 is: 138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.21 : 229.41 = 100.69 : x
  2. Step 2: Convert to fraction form
    166.21/229.41 = 100.69/x
  3. Step 3: Cross multiply
    166.21x = 229.41 × 100.69
  4. Step 4: Simplify right side
    166.21x = 23,098.72
  5. Step 5: Solve for x
    x = 23,098.72/166.21
  6. Step 6: Final answer
    x = 138.98

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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.