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Finding the Fourth Proportional to 405.82, 608.73 and 269.74

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Solution

The fourth proportional to 405.82, 608.73 and 269.74 is: 404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.82 : 608.73 = 269.74 : x
  2. Step 2: Convert to fraction form
    405.82/608.73 = 269.74/x
  3. Step 3: Cross multiply
    405.82x = 608.73 × 269.74
  4. Step 4: Simplify right side
    405.82x = 164,198.83
  5. Step 5: Solve for x
    x = 164,198.83/405.82
  6. Step 6: Final answer
    x = 404.61

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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.