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Finding the Fourth Proportional to 166.92, 230.64 and 156.12

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Solution

The fourth proportional to 166.92, 230.64 and 156.12 is: 215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 230.64 = 156.12 : x
  2. Step 2: Convert to fraction form
    166.92/230.64 = 156.12/x
  3. Step 3: Cross multiply
    166.92x = 230.64 × 156.12
  4. Step 4: Simplify right side
    166.92x = 36,007.52
  5. Step 5: Solve for x
    x = 36,007.52/166.92
  6. Step 6: Final answer
    x = 215.72

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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.