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Finding the Fourth Proportional to 405.62, 559.63 and 239.89

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Solution

The fourth proportional to 405.62, 559.63 and 239.89 is: 330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.62 : 559.63 = 239.89 : x
  2. Step 2: Convert to fraction form
    405.62/559.63 = 239.89/x
  3. Step 3: Cross multiply
    405.62x = 559.63 × 239.89
  4. Step 4: Simplify right side
    405.62x = 134,249.64
  5. Step 5: Solve for x
    x = 134,249.64/405.62
  6. Step 6: Final answer
    x = 330.97

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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.