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Finding the Fourth Proportional to 269.43, 405.72 and 235.59

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Solution

The fourth proportional to 269.43, 405.72 and 235.59 is: 354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.43 : 405.72 = 235.59 : x
  2. Step 2: Convert to fraction form
    269.43/405.72 = 235.59/x
  3. Step 3: Cross multiply
    269.43x = 405.72 × 235.59
  4. Step 4: Simplify right side
    269.43x = 95,583.57
  5. Step 5: Solve for x
    x = 95,583.57/269.43
  6. Step 6: Final answer
    x = 354.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.