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Finding the Fourth Proportional to 84.56, 116.80 and 76.40

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Solution

The fourth proportional to 84.56, 116.80 and 76.40 is: 105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.56 : 116.80 = 76.40 : x
  2. Step 2: Convert to fraction form
    84.56/116.80 = 76.40/x
  3. Step 3: Cross multiply
    84.56x = 116.80 × 76.40
  4. Step 4: Simplify right side
    84.56x = 8,923.52
  5. Step 5: Solve for x
    x = 8,923.52/84.56
  6. Step 6: Final answer
    x = 105.53

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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.