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Finding the Fourth Proportional to 263.22, 364.90 and 249.34

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Solution

The fourth proportional to 263.22, 364.90 and 249.34 is: 345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.22 : 364.90 = 249.34 : x
  2. Step 2: Convert to fraction form
    263.22/364.90 = 249.34/x
  3. Step 3: Cross multiply
    263.22x = 364.90 × 249.34
  4. Step 4: Simplify right side
    263.22x = 90,984.17
  5. Step 5: Solve for x
    x = 90,984.17/263.22
  6. Step 6: Final answer
    x = 345.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.