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Finding the Fourth Proportional to 84.44, 116.56 and 55.36

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Solution

The fourth proportional to 84.44, 116.56 and 55.36 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.44 : 116.56 = 55.36 : x
  2. Step 2: Convert to fraction form
    84.44/116.56 = 55.36/x
  3. Step 3: Cross multiply
    84.44x = 116.56 × 55.36
  4. Step 4: Simplify right side
    84.44x = 6,452.76
  5. Step 5: Solve for x
    x = 6,452.76/84.44
  6. Step 6: Final answer
    x = 76.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.