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Finding the Fourth Proportional to 166.34, 230.58 and 160.67

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Solution

The fourth proportional to 166.34, 230.58 and 160.67 is: 222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.34 : 230.58 = 160.67 : x
  2. Step 2: Convert to fraction form
    166.34/230.58 = 160.67/x
  3. Step 3: Cross multiply
    166.34x = 230.58 × 160.67
  4. Step 4: Simplify right side
    166.34x = 37,046.57
  5. Step 5: Solve for x
    x = 37,046.57/166.34
  6. Step 6: Final answer
    x = 222.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.