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Finding the Fourth Proportional to 166.03, 247.97 and 131.83

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Solution

The fourth proportional to 166.03, 247.97 and 131.83 is: 196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.03 : 247.97 = 131.83 : x
  2. Step 2: Convert to fraction form
    166.03/247.97 = 131.83/x
  3. Step 3: Cross multiply
    166.03x = 247.97 × 131.83
  4. Step 4: Simplify right side
    166.03x = 32,689.89
  5. Step 5: Solve for x
    x = 32,689.89/166.03
  6. Step 6: Final answer
    x = 196.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.