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Finding the Fourth Proportional to 79.22, 118.24 and 77

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Solution

The fourth proportional to 79.22, 118.24 and 77 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.22 : 118.24 = 77 : x
  2. Step 2: Convert to fraction form
    79.22/118.24 = 77/x
  3. Step 3: Cross multiply
    79.22x = 118.24 × 77
  4. Step 4: Simplify right side
    79.22x = 9,104.48
  5. Step 5: Solve for x
    x = 9,104.48/79.22
  6. Step 6: Final answer
    x = 114.93

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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.