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Finding the Fourth Proportional to 80.77, 120.26 and 79.64

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Solution

The fourth proportional to 80.77, 120.26 and 79.64 is: 118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.77 : 120.26 = 79.64 : x
  2. Step 2: Convert to fraction form
    80.77/120.26 = 79.64/x
  3. Step 3: Cross multiply
    80.77x = 120.26 × 79.64
  4. Step 4: Simplify right side
    80.77x = 9,577.51
  5. Step 5: Solve for x
    x = 9,577.51/80.77
  6. Step 6: Final answer
    x = 118.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.