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Finding the Fourth Proportional to 405.73, 559.82 and 239.88

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Solution

The fourth proportional to 405.73, 559.82 and 239.88 is: 330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.73 : 559.82 = 239.88 : x
  2. Step 2: Convert to fraction form
    405.73/559.82 = 239.88/x
  3. Step 3: Cross multiply
    405.73x = 559.82 × 239.88
  4. Step 4: Simplify right side
    405.73x = 134,289.62
  5. Step 5: Solve for x
    x = 134,289.62/405.73
  6. Step 6: Final answer
    x = 330.98

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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.