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Finding the Fourth Proportional to 262.82, 362.82 and 169.70

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Solution

The fourth proportional to 262.82, 362.82 and 169.70 is: 234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.82 : 362.82 = 169.70 : x
  2. Step 2: Convert to fraction form
    262.82/362.82 = 169.70/x
  3. Step 3: Cross multiply
    262.82x = 362.82 × 169.70
  4. Step 4: Simplify right side
    262.82x = 61,570.55
  5. Step 5: Solve for x
    x = 61,570.55/262.82
  6. Step 6: Final answer
    x = 234.27

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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.