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Finding the Fourth Proportional to 263.00, 362.81 and 189.43

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Solution

The fourth proportional to 263.00, 362.81 and 189.43 is: 261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.00 : 362.81 = 189.43 : x
  2. Step 2: Convert to fraction form
    263.00/362.81 = 189.43/x
  3. Step 3: Cross multiply
    263.00x = 362.81 × 189.43
  4. Step 4: Simplify right side
    263.00x = 68,726.66
  5. Step 5: Solve for x
    x = 68,726.66/263.00
  6. Step 6: Final answer
    x = 261.32

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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.