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Finding the Fourth Proportional to 131.46, 196.76 and 85.21

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Solution

The fourth proportional to 131.46, 196.76 and 85.21 is: 127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.46 : 196.76 = 85.21 : x
  2. Step 2: Convert to fraction form
    131.46/196.76 = 85.21/x
  3. Step 3: Cross multiply
    131.46x = 196.76 × 85.21
  4. Step 4: Simplify right side
    131.46x = 16,765.64
  5. Step 5: Solve for x
    x = 16,765.64/131.46
  6. Step 6: Final answer
    x = 127.54

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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.