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Finding the Fourth Proportional to 269.33, 403.96 and 86.62

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Solution

The fourth proportional to 269.33, 403.96 and 86.62 is: 129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.33 : 403.96 = 86.62 : x
  2. Step 2: Convert to fraction form
    269.33/403.96 = 86.62/x
  3. Step 3: Cross multiply
    269.33x = 403.96 × 86.62
  4. Step 4: Simplify right side
    269.33x = 34,991.02
  5. Step 5: Solve for x
    x = 34,991.02/269.33
  6. Step 6: Final answer
    x = 129.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.