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Finding the Fourth Proportional to 263.07, 362.39 and 213.86

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Solution

The fourth proportional to 263.07, 362.39 and 213.86 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.07 : 362.39 = 213.86 : x
  2. Step 2: Convert to fraction form
    263.07/362.39 = 213.86/x
  3. Step 3: Cross multiply
    263.07x = 362.39 × 213.86
  4. Step 4: Simplify right side
    263.07x = 77,497.84
  5. Step 5: Solve for x
    x = 77,497.84/263.07
  6. Step 6: Final answer
    x = 294.59

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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.