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Finding the Fourth Proportional to 88.26, 131.76 and 76.73

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Solution

The fourth proportional to 88.26, 131.76 and 76.73 is: 114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.26 : 131.76 = 76.73 : x
  2. Step 2: Convert to fraction form
    88.26/131.76 = 76.73/x
  3. Step 3: Cross multiply
    88.26x = 131.76 × 76.73
  4. Step 4: Simplify right side
    88.26x = 10,110.04
  5. Step 5: Solve for x
    x = 10,110.04/88.26
  6. Step 6: Final answer
    x = 114.54

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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.