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Finding the Fourth Proportional to 268.07, 402.17 and 165.20

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Solution

The fourth proportional to 268.07, 402.17 and 165.20 is: 247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.07 : 402.17 = 165.20 : x
  2. Step 2: Convert to fraction form
    268.07/402.17 = 165.20/x
  3. Step 3: Cross multiply
    268.07x = 402.17 × 165.20
  4. Step 4: Simplify right side
    268.07x = 66,435.65
  5. Step 5: Solve for x
    x = 66,435.65/268.07
  6. Step 6: Final answer
    x = 247.83

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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.