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Finding the Fourth Proportional to 263.88, 397.40 and 220.94

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Solution

The fourth proportional to 263.88, 397.40 and 220.94 is: 332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.88 : 397.40 = 220.94 : x
  2. Step 2: Convert to fraction form
    263.88/397.40 = 220.94/x
  3. Step 3: Cross multiply
    263.88x = 397.40 × 220.94
  4. Step 4: Simplify right side
    263.88x = 87,801.56
  5. Step 5: Solve for x
    x = 87,801.56/263.88
  6. Step 6: Final answer
    x = 332.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.