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Finding the Fourth Proportional to 404.98, 559.07 and 239.24

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Solution

The fourth proportional to 404.98, 559.07 and 239.24 is: 330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.98 : 559.07 = 239.24 : x
  2. Step 2: Convert to fraction form
    404.98/559.07 = 239.24/x
  3. Step 3: Cross multiply
    404.98x = 559.07 × 239.24
  4. Step 4: Simplify right side
    404.98x = 133,750.71
  5. Step 5: Solve for x
    x = 133,750.71/404.98
  6. Step 6: Final answer
    x = 330.27

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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.