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Finding the Fourth Proportional to 262.81, 362.68 and 159.31

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Solution

The fourth proportional to 262.81, 362.68 and 159.31 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.81 : 362.68 = 159.31 : x
  2. Step 2: Convert to fraction form
    262.81/362.68 = 159.31/x
  3. Step 3: Cross multiply
    262.81x = 362.68 × 159.31
  4. Step 4: Simplify right side
    262.81x = 57,778.55
  5. Step 5: Solve for x
    x = 57,778.55/262.81
  6. Step 6: Final answer
    x = 219.85

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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.