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Finding the Fourth Proportional to 166.63, 229.97 and 107.57

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Solution

The fourth proportional to 166.63, 229.97 and 107.57 is: 148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.63 : 229.97 = 107.57 : x
  2. Step 2: Convert to fraction form
    166.63/229.97 = 107.57/x
  3. Step 3: Cross multiply
    166.63x = 229.97 × 107.57
  4. Step 4: Simplify right side
    166.63x = 24,737.87
  5. Step 5: Solve for x
    x = 24,737.87/166.63
  6. Step 6: Final answer
    x = 148.46

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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.