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Finding the Fourth Proportional to 79.77, 120.25 and 75.79

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Solution

The fourth proportional to 79.77, 120.25 and 75.79 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.77 : 120.25 = 75.79 : x
  2. Step 2: Convert to fraction form
    79.77/120.25 = 75.79/x
  3. Step 3: Cross multiply
    79.77x = 120.25 × 75.79
  4. Step 4: Simplify right side
    79.77x = 9,113.75
  5. Step 5: Solve for x
    x = 9,113.75/79.77
  6. Step 6: Final answer
    x = 114.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.