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Finding the Fourth Proportional to 166.09, 229.29 and 128.68

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Solution

The fourth proportional to 166.09, 229.29 and 128.68 is: 177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.09 : 229.29 = 128.68 : x
  2. Step 2: Convert to fraction form
    166.09/229.29 = 128.68/x
  3. Step 3: Cross multiply
    166.09x = 229.29 × 128.68
  4. Step 4: Simplify right side
    166.09x = 29,505.04
  5. Step 5: Solve for x
    x = 29,505.04/166.09
  6. Step 6: Final answer
    x = 177.64

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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.