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Finding the Fourth Proportional to 263.39, 393.23 and 217.82

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Solution

The fourth proportional to 263.39, 393.23 and 217.82 is: 325.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.39 : 393.23 = 217.82 : x
  2. Step 2: Convert to fraction form
    263.39/393.23 = 217.82/x
  3. Step 3: Cross multiply
    263.39x = 393.23 × 217.82
  4. Step 4: Simplify right side
    263.39x = 85,654.89
  5. Step 5: Solve for x
    x = 85,654.89/263.39
  6. Step 6: Final answer
    x = 325.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.