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Finding the Fourth Proportional to 79.76, 110.58 and 77.23

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Solution

The fourth proportional to 79.76, 110.58 and 77.23 is: 107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.76 : 110.58 = 77.23 : x
  2. Step 2: Convert to fraction form
    79.76/110.58 = 77.23/x
  3. Step 3: Cross multiply
    79.76x = 110.58 × 77.23
  4. Step 4: Simplify right side
    79.76x = 8,539.15
  5. Step 5: Solve for x
    x = 8,539.15/79.76
  6. Step 6: Final answer
    x = 107.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.