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Finding the Fourth Proportional to 263.09, 362.91 and 164.78

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Solution

The fourth proportional to 263.09, 362.91 and 164.78 is: 227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.09 : 362.91 = 164.78 : x
  2. Step 2: Convert to fraction form
    263.09/362.91 = 164.78/x
  3. Step 3: Cross multiply
    263.09x = 362.91 × 164.78
  4. Step 4: Simplify right side
    263.09x = 59,800.47
  5. Step 5: Solve for x
    x = 59,800.47/263.09
  6. Step 6: Final answer
    x = 227.30

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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.