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Finding the Fourth Proportional to 226.34, 339.54 and 72.23

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Solution

The fourth proportional to 226.34, 339.54 and 72.23 is: 108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.34 : 339.54 = 72.23 : x
  2. Step 2: Convert to fraction form
    226.34/339.54 = 72.23/x
  3. Step 3: Cross multiply
    226.34x = 339.54 × 72.23
  4. Step 4: Simplify right side
    226.34x = 24,526.14
  5. Step 5: Solve for x
    x = 24,526.14/226.34
  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.