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Finding the Fourth Proportional to 131.76, 197.16 and 113.94

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Solution

The fourth proportional to 131.76, 197.16 and 113.94 is: 170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.76 : 197.16 = 113.94 : x
  2. Step 2: Convert to fraction form
    131.76/197.16 = 113.94/x
  3. Step 3: Cross multiply
    131.76x = 197.16 × 113.94
  4. Step 4: Simplify right side
    131.76x = 22,464.41
  5. Step 5: Solve for x
    x = 22,464.41/131.76
  6. Step 6: Final answer
    x = 170.49

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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.