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Finding the Fourth Proportional to 166.76, 230.12 and 131.72

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Solution

The fourth proportional to 166.76, 230.12 and 131.72 is: 181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.76 : 230.12 = 131.72 : x
  2. Step 2: Convert to fraction form
    166.76/230.12 = 131.72/x
  3. Step 3: Cross multiply
    166.76x = 230.12 × 131.72
  4. Step 4: Simplify right side
    166.76x = 30,311.41
  5. Step 5: Solve for x
    x = 30,311.41/166.76
  6. Step 6: Final answer
    x = 181.77

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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.