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Finding the Fourth Proportional to 97.68, 146.48 and 72.26

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Solution

The fourth proportional to 97.68, 146.48 and 72.26 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.68 : 146.48 = 72.26 : x
  2. Step 2: Convert to fraction form
    97.68/146.48 = 72.26/x
  3. Step 3: Cross multiply
    97.68x = 146.48 × 72.26
  4. Step 4: Simplify right side
    97.68x = 10,584.64
  5. Step 5: Solve for x
    x = 10,584.64/97.68
  6. Step 6: Final answer
    x = 108.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.