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Finding the Fourth Proportional to 84.66, 116.22 and 77.28

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Solution

The fourth proportional to 84.66, 116.22 and 77.28 is: 106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.66 : 116.22 = 77.28 : x
  2. Step 2: Convert to fraction form
    84.66/116.22 = 77.28/x
  3. Step 3: Cross multiply
    84.66x = 116.22 × 77.28
  4. Step 4: Simplify right side
    84.66x = 8,981.48
  5. Step 5: Solve for x
    x = 8,981.48/84.66
  6. Step 6: Final answer
    x = 106.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.