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Finding the Fourth Proportional to 404.34, 557.82 and 255

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Solution

The fourth proportional to 404.34, 557.82 and 255 is: 351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.34 : 557.82 = 255 : x
  2. Step 2: Convert to fraction form
    404.34/557.82 = 255/x
  3. Step 3: Cross multiply
    404.34x = 557.82 × 255
  4. Step 4: Simplify right side
    404.34x = 142,244.10
  5. Step 5: Solve for x
    x = 142,244.10/404.34
  6. Step 6: Final answer
    x = 351.79

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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.