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Finding the Fourth Proportional to 84.48, 127.28 and 76.67

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Solution

The fourth proportional to 84.48, 127.28 and 76.67 is: 115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.48 : 127.28 = 76.67 : x
  2. Step 2: Convert to fraction form
    84.48/127.28 = 76.67/x
  3. Step 3: Cross multiply
    84.48x = 127.28 × 76.67
  4. Step 4: Simplify right side
    84.48x = 9,758.57
  5. Step 5: Solve for x
    x = 9,758.57/84.48
  6. Step 6: Final answer
    x = 115.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.