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Finding the Fourth Proportional to 225.85, 339.46 and 221.07

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Solution

The fourth proportional to 225.85, 339.46 and 221.07 is: 332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.85 : 339.46 = 221.07 : x
  2. Step 2: Convert to fraction form
    225.85/339.46 = 221.07/x
  3. Step 3: Cross multiply
    225.85x = 339.46 × 221.07
  4. Step 4: Simplify right side
    225.85x = 75,044.42
  5. Step 5: Solve for x
    x = 75,044.42/225.85
  6. Step 6: Final answer
    x = 332.28

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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.