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Finding the Fourth Proportional to 131.46, 197.19 and 111.21

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Solution

The fourth proportional to 131.46, 197.19 and 111.21 is: 166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.46 : 197.19 = 111.21 : x
  2. Step 2: Convert to fraction form
    131.46/197.19 = 111.21/x
  3. Step 3: Cross multiply
    131.46x = 197.19 × 111.21
  4. Step 4: Simplify right side
    131.46x = 21,929.50
  5. Step 5: Solve for x
    x = 21,929.50/131.46
  6. Step 6: Final answer
    x = 166.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.