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Finding the Fourth Proportional to 72.25, 107.81 and 67.88

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Solution

The fourth proportional to 72.25, 107.81 and 67.88 is: 101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.25 : 107.81 = 67.88 : x
  2. Step 2: Convert to fraction form
    72.25/107.81 = 67.88/x
  3. Step 3: Cross multiply
    72.25x = 107.81 × 67.88
  4. Step 4: Simplify right side
    72.25x = 7,317.26
  5. Step 5: Solve for x
    x = 7,317.26/72.25
  6. Step 6: Final answer
    x = 101.28

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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.