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Finding the Fourth Proportional to 72.82, 108.36 and 72.26

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Solution

The fourth proportional to 72.82, 108.36 and 72.26 is: 107.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.82 : 108.36 = 72.26 : x
  2. Step 2: Convert to fraction form
    72.82/108.36 = 72.26/x
  3. Step 3: Cross multiply
    72.82x = 108.36 × 72.26
  4. Step 4: Simplify right side
    72.82x = 7,830.09
  5. Step 5: Solve for x
    x = 7,830.09/72.82
  6. Step 6: Final answer
    x = 107.53

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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.