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Finding the Fourth Proportional to 226.07, 338.34 and 139.46

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Solution

The fourth proportional to 226.07, 338.34 and 139.46 is: 208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.07 : 338.34 = 139.46 : x
  2. Step 2: Convert to fraction form
    226.07/338.34 = 139.46/x
  3. Step 3: Cross multiply
    226.07x = 338.34 × 139.46
  4. Step 4: Simplify right side
    226.07x = 47,186.58
  5. Step 5: Solve for x
    x = 47,186.58/226.07
  6. Step 6: Final answer
    x = 208.72

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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.