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Finding the Fourth Proportional to 442.00, 609.99 and 255.50

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Solution

The fourth proportional to 442.00, 609.99 and 255.50 is: 352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.00 : 609.99 = 255.50 : x
  2. Step 2: Convert to fraction form
    442.00/609.99 = 255.50/x
  3. Step 3: Cross multiply
    442.00x = 609.99 × 255.50
  4. Step 4: Simplify right side
    442.00x = 155,853.08
  5. Step 5: Solve for x
    x = 155,853.08/442.00
  6. Step 6: Final answer
    x = 352.61

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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.