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Finding the Fourth Proportional to 262, 393.21 and 165.82

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Solution

The fourth proportional to 262, 393.21 and 165.82 is: 248.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262 : 393.21 = 165.82 : x
  2. Step 2: Convert to fraction form
    262/393.21 = 165.82/x
  3. Step 3: Cross multiply
    262x = 393.21 × 165.82
  4. Step 4: Simplify right side
    262x = 65,202.08
  5. Step 5: Solve for x
    x = 65,202.08/262
  6. Step 6: Final answer
    x = 248.86

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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.