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Finding the Fourth Proportional to 263.12, 362.89 and 169.88

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Solution

The fourth proportional to 263.12, 362.89 and 169.88 is: 234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.12 : 362.89 = 169.88 : x
  2. Step 2: Convert to fraction form
    263.12/362.89 = 169.88/x
  3. Step 3: Cross multiply
    263.12x = 362.89 × 169.88
  4. Step 4: Simplify right side
    263.12x = 61,647.75
  5. Step 5: Solve for x
    x = 61,647.75/263.12
  6. Step 6: Final answer
    x = 234.30

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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.