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Finding the Fourth Proportional to 79.98, 119.31 and 67.22

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Solution

The fourth proportional to 79.98, 119.31 and 67.22 is: 100.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.98 : 119.31 = 67.22 : x
  2. Step 2: Convert to fraction form
    79.98/119.31 = 67.22/x
  3. Step 3: Cross multiply
    79.98x = 119.31 × 67.22
  4. Step 4: Simplify right side
    79.98x = 8,020.02
  5. Step 5: Solve for x
    x = 8,020.02/79.98
  6. Step 6: Final answer
    x = 100.28

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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.