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Finding the Fourth Proportional to 79.43, 109.53 and 77.76

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Solution

The fourth proportional to 79.43, 109.53 and 77.76 is: 107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.43 : 109.53 = 77.76 : x
  2. Step 2: Convert to fraction form
    79.43/109.53 = 77.76/x
  3. Step 3: Cross multiply
    79.43x = 109.53 × 77.76
  4. Step 4: Simplify right side
    79.43x = 8,517.05
  5. Step 5: Solve for x
    x = 8,517.05/79.43
  6. Step 6: Final answer
    x = 107.23

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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.