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Finding the Fourth Proportional to 572.22, 857.75 and 225.42

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Solution

The fourth proportional to 572.22, 857.75 and 225.42 is: 337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.22 : 857.75 = 225.42 : x
  2. Step 2: Convert to fraction form
    572.22/857.75 = 225.42/x
  3. Step 3: Cross multiply
    572.22x = 857.75 × 225.42
  4. Step 4: Simplify right side
    572.22x = 193,348.59
  5. Step 5: Solve for x
    x = 193,348.59/572.22
  6. Step 6: Final answer
    x = 337.89

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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.