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Finding the Fourth Proportional to 131.91, 197.56 and 80.51

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Solution

The fourth proportional to 131.91, 197.56 and 80.51 is: 120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.91 : 197.56 = 80.51 : x
  2. Step 2: Convert to fraction form
    131.91/197.56 = 80.51/x
  3. Step 3: Cross multiply
    131.91x = 197.56 × 80.51
  4. Step 4: Simplify right side
    131.91x = 15,904.57
  5. Step 5: Solve for x
    x = 15,904.57/131.91
  6. Step 6: Final answer
    x = 120.58

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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.