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Finding the Fourth Proportional to 263.69, 364.38 and 193.82

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Solution

The fourth proportional to 263.69, 364.38 and 193.82 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.69 : 364.38 = 193.82 : x
  2. Step 2: Convert to fraction form
    263.69/364.38 = 193.82/x
  3. Step 3: Cross multiply
    263.69x = 364.38 × 193.82
  4. Step 4: Simplify right side
    263.69x = 70,624.13
  5. Step 5: Solve for x
    x = 70,624.13/263.69
  6. Step 6: Final answer
    x = 267.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.