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Finding the Fourth Proportional to 262.30, 362.06 and 164.20

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Solution

The fourth proportional to 262.30, 362.06 and 164.20 is: 226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.30 : 362.06 = 164.20 : x
  2. Step 2: Convert to fraction form
    262.30/362.06 = 164.20/x
  3. Step 3: Cross multiply
    262.30x = 362.06 × 164.20
  4. Step 4: Simplify right side
    262.30x = 59,450.25
  5. Step 5: Solve for x
    x = 59,450.25/262.30
  6. Step 6: Final answer
    x = 226.65

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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.