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Finding the Fourth Proportional to 263.23, 362.85 and 164.81

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Solution

The fourth proportional to 263.23, 362.85 and 164.81 is: 227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.23 : 362.85 = 164.81 : x
  2. Step 2: Convert to fraction form
    263.23/362.85 = 164.81/x
  3. Step 3: Cross multiply
    263.23x = 362.85 × 164.81
  4. Step 4: Simplify right side
    263.23x = 59,801.31
  5. Step 5: Solve for x
    x = 59,801.31/263.23
  6. Step 6: Final answer
    x = 227.18

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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.