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Finding the Fourth Proportional to 166.55, 229.83 and 129.74

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Solution

The fourth proportional to 166.55, 229.83 and 129.74 is: 179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.55 : 229.83 = 129.74 : x
  2. Step 2: Convert to fraction form
    166.55/229.83 = 129.74/x
  3. Step 3: Cross multiply
    166.55x = 229.83 × 129.74
  4. Step 4: Simplify right side
    166.55x = 29,818.14
  5. Step 5: Solve for x
    x = 29,818.14/166.55
  6. Step 6: Final answer
    x = 179.03

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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.