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Finding the Fourth Proportional to 269.85, 405.38 and 218.82

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Solution

The fourth proportional to 269.85, 405.38 and 218.82 is: 328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.85 : 405.38 = 218.82 : x
  2. Step 2: Convert to fraction form
    269.85/405.38 = 218.82/x
  3. Step 3: Cross multiply
    269.85x = 405.38 × 218.82
  4. Step 4: Simplify right side
    269.85x = 88,705.25
  5. Step 5: Solve for x
    x = 88,705.25/269.85
  6. Step 6: Final answer
    x = 328.72

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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.