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Finding the Fourth Proportional to 79.25, 108.64 and 77.88

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Solution

The fourth proportional to 79.25, 108.64 and 77.88 is: 106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.25 : 108.64 = 77.88 : x
  2. Step 2: Convert to fraction form
    79.25/108.64 = 77.88/x
  3. Step 3: Cross multiply
    79.25x = 108.64 × 77.88
  4. Step 4: Simplify right side
    79.25x = 8,460.69
  5. Step 5: Solve for x
    x = 8,460.69/79.25
  6. Step 6: Final answer
    x = 106.77

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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.