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Finding the Fourth Proportional to 268.86, 402.08 and 217.83

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Solution

The fourth proportional to 268.86, 402.08 and 217.83 is: 325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.86 : 402.08 = 217.83 : x
  2. Step 2: Convert to fraction form
    268.86/402.08 = 217.83/x
  3. Step 3: Cross multiply
    268.86x = 402.08 × 217.83
  4. Step 4: Simplify right side
    268.86x = 87,584.00
  5. Step 5: Solve for x
    x = 87,584.00/268.86
  6. Step 6: Final answer
    x = 325.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.