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Finding the Fourth Proportional to 404.01, 605.48 and 259.47

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Solution

The fourth proportional to 404.01, 605.48 and 259.47 is: 388.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.01 : 605.48 = 259.47 : x
  2. Step 2: Convert to fraction form
    404.01/605.48 = 259.47/x
  3. Step 3: Cross multiply
    404.01x = 605.48 × 259.47
  4. Step 4: Simplify right side
    404.01x = 157,102.60
  5. Step 5: Solve for x
    x = 157,102.60/404.01
  6. Step 6: Final answer
    x = 388.86

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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.