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Finding the Fourth Proportional to 78.44, 107.50 and 76.88

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Solution

The fourth proportional to 78.44, 107.50 and 76.88 is: 105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.44 : 107.50 = 76.88 : x
  2. Step 2: Convert to fraction form
    78.44/107.50 = 76.88/x
  3. Step 3: Cross multiply
    78.44x = 107.50 × 76.88
  4. Step 4: Simplify right side
    78.44x = 8,264.60
  5. Step 5: Solve for x
    x = 8,264.60/78.44
  6. Step 6: Final answer
    x = 105.36

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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.