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Finding the Fourth Proportional to 226.42, 339.59 and 145.82

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Solution

The fourth proportional to 226.42, 339.59 and 145.82 is: 218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.42 : 339.59 = 145.82 : x
  2. Step 2: Convert to fraction form
    226.42/339.59 = 145.82/x
  3. Step 3: Cross multiply
    226.42x = 339.59 × 145.82
  4. Step 4: Simplify right side
    226.42x = 49,520.23
  5. Step 5: Solve for x
    x = 49,520.23/226.42
  6. Step 6: Final answer
    x = 218.71

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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.